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<Font encoding="UTF-8">Deve-se estar consciente de que este m\303\251todo n\303\243o \303\251 infal\303\255vel. Os &quot;problemas&quot; mais comuns s\303\243o os que surgem de divis\303\243o por</Font> <Hyperlink linktarget="Wks:../Dicion\303\241rio/Z/zero.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">zero</Font></Hyperlink><Font encoding="UTF-8"> e de ra\303\255zes </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/E/even.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">pares</Font></Hyperlink><Font encoding="UTF-8"> de n\303\272meros negativos.</Font></Text-field>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Exemplo 1.1: <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>  </Text-field></Title>
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<Text-field style="Text" layout="Normal"><Font family="serif" encoding="UTF-8">Gr\303\241fico de </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font family="serif" encoding="UTF-8"> no intervalo [0, 6].  A fun\303\247\303\243o n\303\243o \303\251 definida em </Font><Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlMtRjY2LVEifkYnRjlGO0Y+RkBGQkZERkZGSEZKRk0tSSNtbkdGJDYkUSI0RidGOUY5</Equation><Font family="serif">.</Font></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table>
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<Text-field prompt="&gt; " style="Maple Input" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field>
</Input>
</Group>
<Group labelreference="L69" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group>
<Group labelreference="L70" drawlabel="true">
<Input>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">A mesma t\303\251cnica poderia ser aplicada para quaisquer outros pontos --- exceto </Font><Font italic="true">x</Font> = 4. No ponto <Font italic="true">x</Font><Font encoding="UTF-8"> = 4 esta fun\303\247\303\243o n\303\243o \303\251 definida. Pelo gr\303\241fico, est\303\241 claro que todos os valores da fun\303\247\303\243o para x perto de </Font><Font italic="true">x</Font><Font encoding="UTF-8"> = 4 se aproximam do mesmo valor, 5. Uma deriva\303\247\303\243o anal\303\255tica para este resultado ser\303\241 desenvolvida a seguir.</Font></Text-field>
</Input>
</Group>
</Section>
<Text-field style="Text" layout="Normal"></Text-field>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
<Group labelreference="L302">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="2"><Font style="Text">Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response.  To include the plot option, insert the corresponding task template.  For information on creating questions, making assignments, and exporting Maple T.A. course modules, see </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="3"><Font style="Text">Algorithmic variables can be used to create a question that contains randomly generated parameters.  You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions.  To reference an algorithmic variable, include &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="4"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
<Group autoexecute="true" labelreference="L298" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

nnn := Generate(integer(range=1..11));
xx := [2,5,3,2,0,-3,-5,-2,-1,2,4];
f_[1] := (50*x^4-34*x^3+45*x^2-24*x+18)/(x-6):
f_[2] := (8*x^4+47*x^3-45*x^2+45*x-6)/(-6*x+1):
f_[3] := (-17*x^4+39*x^3+50*x^2-34*x+45)/(8*x+7):
f_[4] := (42*x^3+9*x^2+42*x+39)/(x+3):
f_[5] := (26*x^3-42*x^2-7*x-5)/(-10*x+5):
f_[6] := (20*x^3+41*x^2-12*x+26)/(3*x-8):
f_[7] := (12*x^3-32*x^2-39*x+2)/(8*x-3):
f_[8] := (-33-8*x+4*x^2-11*x^3)/(6-5*x):
f_[9] := (30+36*x-17*x^2)/(10-2*x):
f_[10] := (-21-45*x-19*x^2)/(-3+9*x):
f_[11] := (29+45*x-40*x^2)/(-2+9*x):
x1 := xx[nnn]:
f1 := f_[nnn]:
fn1 := sort(Limit(f1,x=x1));</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEkbm5uRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEjOj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIzExRidGOS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdGPUY5">IiM2</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ny0iIiMiIiYiIiRGIyIiISEiJCEiJiEiIyEiIkYjIiIl</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLCgqJEkieEdGJyIiIyEjU0YsIiNYIiNIIiIiRjEsJkYsIiIqISIjRjEhIiIvRiwiIiU=</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L308" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 1.1</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="5"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L301">
<Input>
<Text-field style="Text" layout="Normal">Encontre<Taskdata-inline tag_id="6"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false"> </Font><Font style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[0,128,128]">`$fn1`</Font><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false"> </Font></Taskdata-inline> 
</Text-field>
</Input>
</Group><EC-TextArea id="TextArea0" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label0" caption="Insira sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="7"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L300">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="8"><Font style="Maple Input"> value(fn1);</Font></Taskdata-inline></Text-field>
</Input>
</Group>
<Group labelreference="L305" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="9"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L297">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(`$ANSWER`-`$RESPONSE`=0);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="10"><Font style="Text">A question can offer hints to students when requested.  Hints can contain text, 2-D Math, and algorithmic variables.  Adding hints to the question is optional.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="11"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L10" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Substitute </Font><Equation executable="false" input-equation="" display="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">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</Equation><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> with </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="true" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,128,128]">`$x1`</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> in </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="true" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,128,128]">`$f1`</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="12"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="13"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 2.</Font></Taskdata-inline></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="14"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="15"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button0" caption="Dica #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea0`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Substitute&amp;MediumSpace;&lt;/mtext&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mi fontfamily='serif'&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;&amp;MediumSpace;with&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mtext&gt;&amp;MediumSpace;in&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;40&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;msup&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mrow&gt;&lt;mn&gt;45&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;29&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;9&lt;/mn&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;/mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mtext&gt;.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button1" caption="Hint #2" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button><EC-Button id="Button2" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="16"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L299" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="17"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="18"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button3" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea0`, `value`);   ANSWER :=  value(fn1);  if evalb(ANSWER-eval(parse(StudentResponse))=0) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;431&lt;/mn&gt;&lt;mn&gt;34&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mfrac&gt;&lt;mn&gt;431&lt;/mn&gt;&lt;mn&gt;34&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">M\303\251todos Anal\303\255ticos B\303\241sicos</Font></Text-field></Title><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L676" drawlabel="true">
<Input>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L673" drawlabel="true">
<Input>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">O &quot;problema&quot; t\303\255pico que impede uma avalia\303\247\303\243o direta da fun\303\247\303\243o no ponto limite \303\251 a &quot;divis\303\243o por zero&quot;.</Font></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false">
<Font encoding="UTF-8">Se a fun\303\247\303\243o \303\251 uma fun\303\247\303\243o</Font> <Hyperlink linktarget="Wks:../Dicion\303\241rio/R/rationalfunction.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">racional</Font></Hyperlink> e o <Hyperlink linktarget="Wks:../Dicion\303\241rio/N/numerator -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">numerador</Font></Hyperlink><Font encoding="UTF-8"> \303\251 tamb\303\251m </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/Z/zero.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">zero</Font></Hyperlink> no ponto onde calcularemos o limite, digamos, <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=</Equation><Font encoding="UTF-8"> , ent\303\243o (</Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=</Equation> )  deve ser um <Hyperlink linktarget="Wks:../Dicion\303\241rio/F/factor -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">fator</Font></Hyperlink> comum do <Hyperlink linktarget="Wks:../Dicion\303\241rio/N/numerator -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">numerador</Font></Hyperlink> e do denominador. Depois do <Hyperlink linktarget="Wks:../Dicion\303\241rio/C/cancel.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">cancelamento</Font></Hyperlink><Font encoding="UTF-8"> de todos os fatores comuns, pode-se tentar de novo a avalia\303\247\303\243o direta . </Font></Text-field>
<Text-field style="Text" opaque="true" background="[0,255,255]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Isto \303\251 ilustrado no exemplo 1.2:</Font></Text-field>
</Input>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Exemplo 1.2: <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">Considere a <Font encoding="UTF-8">fun\303\247\303\243o</Font> <Hyperlink linktarget="Wks:../Dicion\303\241rio/R/rationalfunction.mw" hyperlink="true" encoding="UTF-8"></Hyperlink></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">cujo gr\303\241fico aparece na Figura 1.2.</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true">Figura 1.2</Font>   </Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font family="serif" encoding="UTF-8">Gr\303\241fico de  </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font family="serif">  no intervalo [0, 6]. <Font encoding="UTF-8">A fun\303\247\303\243o n\303\243o \303\251 definida em </Font></Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUTEmSW52aXNpYmxlVGltZXM7RidGMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkktRjY2LVEiPUYnRjJGOUY7Rj1GP0ZBRkNGRS9GSFEsMC4yNzc3Nzc4ZW1GJy9GS0ZQRjUtSSNtbkdGJDYkUSI0RidGMkYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUTEmSW52aXNpYmxlVGltZXM7RidGMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkktRjY2LVEiPUYnRjJGOUY7Rj1GP0ZBRkNGRS9GSFEsMC4yNzc3Nzc4ZW1GJy9GS0ZQRjUtSSNtbkdGJDYkUSI0RidGMkYy</Equation><Font family="serif">.</Font></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">A primeira tentativa quando se avalia um limite \303\251 </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/E/evaluate.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">avaliar</Font></Hyperlink><Font encoding="UTF-8"> a fun\303\247\303\243o no ponto de limite. Neste caso a fun\303\247\303\243o n\303\243o \303\251 definida em </Font><Font italic="true">x</Font><Font encoding="UTF-8"> = 4, como se v\303\252 de:</Font></Text-field>
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<Text-field style="HyperlinkError" layout="HyperlinkError"><Hyperlink linktarget="http://www.maplesoft.com/support/help/errors/view.aspx?path=Error,%20(in%20f)%20numeric%20exception%3A%20division%20by%20zero" hyperlink="true"><Font style="HyperlinkError">Error, (in f) numeric exception: division by zero</Font></Hyperlink></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Ap\303\263s uma inspe\303\247\303\243o mais detalhada v\303\252-se que ambos, numerador e</Font> <Hyperlink linktarget="Wks:../Dicion\303\241rio/D/denominator.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">denominador</Font></Hyperlink><Font encoding="UTF-8">  s\303\243o zero quando</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjRGJ0Y5Rjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1JI21uR0YkNiRRIjRGJ0Y5Rjk=</Equation>:</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Isto significa que o numerador cont\303\251m o </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/F/factor -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">fator</Font></Hyperlink> (<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiNEYnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiNEYnRj5GPkYrRj4=</Equation>), como vemos de:</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Se este fator comum \303\251 &quot;cancelado&quot;, temos a fun\303\247\303\243o:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">A nova fun\303\247\303\243o, </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJnRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJnRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+</Equation><Font encoding="UTF-8">, \303\251 id\303\252ntica a  </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+</Equation><Font encoding="UTF-8"> exceto que ela \303\251 definida em </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiNEYnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiNEYnRj5GPkYrRj4=</Equation><Font encoding="UTF-8">. Isto \303\251 ilustrado na Figura 1.3:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true">Figura 1.3</Font>  </Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font family="serif" encoding="UTF-8">Gr\303\241fico de </Font><Equation executable="false" style="Text" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYmUSJmRicvJSdmYW1pbHlHUSZzZXJpZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMCZBcHBseUZ1bmN0aW9uO0YnL0Y7USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZULUkobWZlbmNlZEdGJDYkLUYjNiQtRiw2JlEieEYnRjRGN0Y6RkFGQUZBRitGQQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYmUSJmRicvJSdmYW1pbHlHUSZzZXJpZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMCZBcHBseUZ1bmN0aW9uO0YnL0Y7USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZULUkobWZlbmNlZEdGJDYkLUYjNiQtRiw2JlEieEYnRjRGN0Y6RkFGQUZBRitGQQ==</Equation><Font family="serif"> (em preto), e  </Font><Equation executable="false" style="Text" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYmUSJnRicvJSdmYW1pbHlHUSZzZXJpZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMCZBcHBseUZ1bmN0aW9uO0YnL0Y7USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZULUkobWZlbmNlZEdGJDYkLUYjNiQtRiw2JlEieEYnRjRGN0Y6RkFGQUZBRitGQQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYmUSJnRicvJSdmYW1pbHlHUSZzZXJpZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMCZBcHBseUZ1bmN0aW9uO0YnL0Y7USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZULUkobWZlbmNlZEdGJDYkLUYjNiQtRiw2JlEieEYnRjRGN0Y6RkFGQUZBRitGQQ==</Equation><Font family="serif"> (em verde),  do Exemplo 1.2.</Font></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">O objetivo do Exemplo 1.2 \303\251 ilustrar que mudando a defini\303\247\303\243o da fun\303\247\303\243o em um ponto n\303\243o muda o valor do limite, ou mais formalmente, que:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Text" layout="Normal">O limite pode ser avaliado como no exemplo anterior:</Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Este resultado parece ser consistente com a informa\303\247\303\243o do gr\303\241fico. Mais ainda, o Maple informa que o valor  do limite original \303\251:</Font></Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJiwsKiQpSSJ4R0YoIiIlIiIiRjAqJiIjOEYwKUYuIiIkRjAhIiIqJiIjaUYwKUYuIiIjRjBGMComIiQ/IkYwRi5GMEY1IiNrRjBGMCwmRi5GMEYvRjVGNS9GLkYvIiIp</Equation></Text-field>
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<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Input>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Note que se o numerador n\303\243o for zero no ponto onde calcularemos o limite ent\303\243o nenhum</Font> <Hyperlink linktarget="Wks:../Dicion\303\241rio/C/cancel.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">cancelamento</Font></Hyperlink><Font encoding="UTF-8"> \303\251 poss\303\255vel. Esta situa\303\247\303\243o ser\303\241 resolvida em detalhe no Cap\303\255tulo de Limites Infinitos.</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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</Section>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
<Group labelreference="L315">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="19"><Font style="Text">Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response.  To include the plot option, insert the corresponding task template.  For information on creating questions, making assignments, and exporting Maple T.A. course modules, see </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="20"><Font style="Text">Algorithmic variables can be used to create a question that contains randomly generated parameters.  You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions.  To reference an algorithmic variable, include &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="21"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
<Group autoexecute="true" labelreference="L311" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

f_fn2 := Generate(integer(range=(1..10))):
l_fn2 := Generate(choose([-f_fn2,f_fn2])):
d_fn2 := x - l_fn2;
n_fn2 := sort(expand(Generate(polynom(integer(range=-5..5), x, degree=3)) * d_fn2), x):
fn2 := Limit(n_fn2/d_fn2,x=l_fn2);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEmZF9mbjJGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYjNiYtRiw2JVEieEYnRi9GMi1GNjYtUSIrRidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjIyMjIyMjJlbUYnL0ZORlgtSSNtbkdGJDYkUSI0RidGOUY5LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9Rjk=">LCZJInhHNiIiIiIiIiVGJQ==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JComLCwqJEkieEdGJyIiJSIiJiokRiwiIiQiIz0qJEYsIiIjISM3RiwhIz8hIzsiIiJGNywmRixGN0YtRjchIiIvRiwhIiU=</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L321" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 1.2</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="22"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L314">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="23"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[0,0,0]">Calcule</Font><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false"> </Font><Font style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[0,128,128]">`$fn2`</Font><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false"> </Font></Taskdata-inline> 
</Text-field>
</Input>
</Group><EC-TextArea id="TextArea1" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label1" caption="Insira sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="24"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L313">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="25"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Taskdata-inline>value(fn2);</Text-field>
</Input>
</Group>
<Group labelreference="L324" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="26"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L310">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(`$ANSWER`-`$RESPONSE`=0);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="27"><Font style="Text">A question can offer hints to students when requested.  Hints can contain text, 2-D Math, and algorithmic variables.  Adding hints to the question is optional.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="28"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L21" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="29"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Factor the numerator.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="30"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Factor out (</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="true" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,128,128]">`$d_fn2`</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">) from the numerator.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="31"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="32"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button4" caption="Dica #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea1`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mtext&gt;&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;Factor&amp;MediumSpace;the&amp;MediumSpace;numerator.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button5" caption="Dica #2" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea1`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mtext&gt;&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;Factor&amp;MediumSpace;out&amp;MediumSpace;(&lt;/mtext&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;amp;plus;&lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mtext&gt;)&amp;MediumSpace;from&amp;MediumSpace;the&amp;MediumSpace;numerator.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button6" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="33"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L312" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="34"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="35"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button7" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea1`, `value`);   ANSWER :=  value(fn2);  if evalb(ANSWER-eval(parse(StudentResponse))=0) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;340&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;340&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Fun\303\247\303\265es Definidas por Partes e Limites Laterais \303\240 Esquerda e \303\240 Direita</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L1650" drawlabel="true">
<Input>
<Text-field style="Text" opaque="true" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font opaque="false" encoding="UTF-8">Fun\303\247\303\265es definidas por partes apresentam uma nova dificuldade al\303\251m da encontrada com as fun\303\247\303\265es </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/R/rationalfunction.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">racionais</Font></Hyperlink><Font opaque="false"> . <Font encoding="UTF-8">A dificuldade com uma fun\303\247\303\243o</Font> </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/P/piecewise.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">definida por partes</Font></Hyperlink><Font opaque="false"> aparece<Font encoding="UTF-8"> quando o ponto onde calcularemos o limite \303\251 tamb\303\251m um ponto de transi\303\247\303\243o entre duas partes da defini\303\247\303\243o da fun\303\247\303\243o.</Font></Font></Text-field>
<Text-field style="Text" opaque="true" background="[0,255,255]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Nesta situa\303\247\303\243o, geralmente n\303\243o \303\251 poss\303\255vel simplificar algebricamente o problema, tanto que ele pode ser avaliado por substitui\303\247\303\243o direta. Em lugar disso, as duas diferentes dire\303\247\303\265es pelas quais pode-se aproximar do ponto de limite  levam a dois limites unilaterais</Font>.</Text-field>
<Text-field style="Text" opaque="true" background="[0,255,255]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font opaque="false" background="[0,0,0]">
<Font encoding="UTF-8">Cada um destes limites \303\251 usualmente simples de avaliar, j\303\241 que envolve somente uma parte da defini\303\247\303\243o da fun\303\247\303\243o definida por partes. Se estes dois limites existem e t\303\252m o mesmo valor, ent\303\243o o limite </Font></Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/P/piecewise.mw" hyperlink="true" encoding="UTF-8"></Hyperlink><Hyperlink linktarget="Wks:../Dicion\303\241rio/T/two-sided.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">bilateral</Font></Hyperlink><Font opaque="false" background="[0,0,0]"> existe e tem o mesmo valor que os dois limites <Font encoding="UTF-8">\303\240 esquerda e \303\240 direita</Font>.</Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/O/one-sided-.mw" hyperlink="true" encoding="UTF-8"></Hyperlink></Text-field>
<Text-field style="Text" opaque="true" background="[0,255,255]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Exemplos 1.3 e 1.4 ilustram estas id\303\251ias.</Font></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L1653" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Exemplo 1.3: <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Considere a fun\303\247\303\243o:</Font></Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY+LUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSomY29sb25lcTtGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjc3Nzc3OGVtRicvRk5GU0Y1LUYsNiVRInhGJ0YvRjJGNS1GNjYtUSgmc3JhcnI7RidGOUY7Rj5GQEZCRkRGRkZIRlJGVEY1LUYsNiVRKnBpZWNld2lzZUYnRi9GMi1JKG1mZW5jZWRHRiQ2JC1GIzZCRjVGVS1GNjYtUSI8RidGOUY7Rj5GQEZCRkRGRkZIRlJGVC1JI21uR0YkNiRRIjFGJ0Y5LUY2Ni1RIixGJ0Y5RjsvRj9GMUZARkJGREZGRkhGSi9GTlEsMC4zMzMzMzMzZW1GJ0Y1LUY2Ni1RKiZ1bWludXMwO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yMjIyMjIyZW1GJy9GTkZecEZVLUY2Ni1RIl5GJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMTExMTExMWVtRicvRk5GZHAtRmFvNiRRIjJGJ0Y5LUY2Ni1RIitGJ0Y5RjtGPkZARkJGREZGRkhGXXBGX3BGZnBGZG9GNUZVLUY2Ni1RLyZHcmVhdGVyRXF1YWw7RidGOUY7Rj5GQEZCRkRGRkZIRlJGVEZgb0Zkb0Y1LUYsNiVRJXNxcnRGJy9GMEY9RjktRmluNiQtRiM2J0ZVRmpvRmBvLyUrZXhlY3V0YWJsZUdGPUY5RjlGam9GZnAtRjY2LVEiKkYnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4xNjY2NjY3ZW1GJy9GTkZdckZVLUY2Ni1RIi9GJ0Y5RjtGPi9GQUYxRkJGREZGRkhGXHJGXnItRmFvNiRRIjNGJ0Y5RmlwRmZwRjVGZ3FGOUY5LUY2Ni1RIjpGJ0Y5RjtGPkZARkJGREZGRkhGUkZULUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHRkwvJSZkZXB0aEdGXnMvJSpsaW5lYnJlYWtHUShuZXdsaW5lRictRmpyNiZGXHNGX3NGYXMvRmRzUSVhdXRvRictRjY2LVEiJ0YnRjlGO0Y+RkBGQkZERkZGSEZjcEZNRitGanMtRmluNiQtRiM2JUZVRmdxRjlGOUY1LUY2Ni1RIj1GJ0Y5RjtGPkZARkJGREZGRkhGUkZURjVGK0ZddC1GNjYtUSI7RidGOUY7RmdvRkBGQkZERkZGSEZKRlRGaXJGZnMtRiw2I1EhRidGZ3FGOQ==">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</Equation></Text-field>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">cujo gr\303\241fico aparece na Figura 1.4.</Font></Text-field>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="true" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Figura 1.4</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" encoding="UTF-8" readonly="false" foreground="[0,0,0]">   Exemplo  1.3:  Uma fun\303\247\303\243o definida por partes </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">que possui uma descontinuidade em  </Font><Equation executable="false" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY5LUkjbWlHRiQ2NVEieEYnLyUnZmFtaWx5R1Emc2VyaWZGJy8lJXNpemVHUSMxMkYnLyUlYm9sZEdRJmZhbHNlRicvJSdpdGFsaWNHUSV0cnVlRicvJSp1bmRlcmxpbmVHRjcvJSpzdWJzY3JpcHRHRjcvJSxzdXBlcnNjcmlwdEdGNy8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUnb3BhcXVlR0Y3LyUrZXhlY3V0YWJsZUdGNy8lKXJlYWRvbmx5R0Y3LyUpY29tcG9zZWRHRjcvJSpjb252ZXJ0ZWRHRjcvJStpbXNlbGVjdGVkR0Y3LyUscGxhY2Vob2xkZXJHRjcvJTZzZWxlY3Rpb24tcGxhY2Vob2xkZXJHRjcvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnL0ZYUSdub3JtYWxGJy8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRmpvLUZlbjY+USI9RidGL0YyRjUvRjlGN0Y7Rj1GP0ZBRkRGR0ZJRktGTUZPRlFGU0ZVRmhuRmpuRlxvRl5vRmBvRmJvRmRvRmZvRmhvRltwRlotSSNtbkdGJDY1USIxRidGL0YyRjVGYHBGO0Y9Rj9GQUZERkdGSUZLRk1GT0ZRRlNGVUZobkYvRjJGNUZgcEY7Rj1GP0ZBRkRGR0ZJRktGTUZPRlFGU0ZVRmhu">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</Equation><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">.</Font></Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">A Figura 1.4, convincentemente mostra que o limite desta fun\303\247\303\243o n\303\243o existe em x = 1. Isto \303\251 verdadeiro mesmo que n\303\243o exista o problema de avalia\303\247\303\243o direta da fun\303\247\303\243o no ponto limite, como \303\251 visto de:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Entretanto, o Maple informa que o limite n\303\243o existe, como \303\251 visto em:</Font></Text-field>
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<Text-field style="Text" layout="Normal">enquanto que o <Hyperlink linktarget="Wks:../Dicion\303\241rio/R/right-handlimit.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">limite pela direita</Font></Hyperlink><Font encoding="UTF-8"> \303\251:</Font></Text-field>
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<Text-field style="Heading 2" layout="Heading 2">Exemplo 1.4: <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Considere a fun\303\247\303\243o:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Esta fun\303\247\303\243o \303\251 muito parecida com a fun\303\247\303\243o do Exemplo 1.3. A Figura 1.5 mostra que existe, entretanto, uma diferen\303\247a fundamental: </Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Exemplo 1.4: Uma fun\303\247\303\243o definida por partes sem descontinuidade.</Font></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Figura 1.5 sugere que os valores desta fun\303\247\303\243o em qualquer um dos lados de </Font><Font italic="true">x</Font> = 1 se aproximam do mesmo valor -- 1. Para confirmar isto, olhe para os dois limites laterais, pela esquerda e pela direita. O <Hyperlink linktarget="Wks:../Dicion\303\241rio/L/left-handlimit.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">limite pela esquerda</Font></Hyperlink><Font encoding="UTF-8">  \303\251</Font></Text-field>
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<Text-field style="Text" layout="Normal">enquanto, o <Hyperlink linktarget="Wks:../Dicion\303\241rio/R/right-handlimit.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">limite pela direita</Font></Hyperlink><Font encoding="UTF-8"> \303\251</Font></Text-field>
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<Text-field style="Text" layout="Normal">Podemos concluir que existe o limite bilateral existe e<Font encoding="UTF-8"> tem valor 1 porque os limites unilaterais existem e t\303\252m o mesmo valor. O Maple confirma esta conclus\303\243o via:</Font></Text-field>
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<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
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<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="36"><Font style="Text">Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response.  To include the plot option, insert the corresponding task template.  For information on creating questions, making assignments, and exporting Maple T.A. course modules, see </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
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<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="37"><Font style="Text">Algorithmic variables can be used to create a question that contains randomly generated parameters.  You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions.  To reference an algorithmic variable, include &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="38"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
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<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

a1 := Generate(choose([-1,0,1,2])):
d1 := Generate(choose([left,none,right])):
ff31 := f(x)=piecewise(x&lt;-2, 3,x&lt;-1, x+4,x=-1, 1,x&lt; 2, 3-x^2,x&gt; 2, x-3);
fn3 := `if`(d1=none,Limit(f(x),x=a1),Limit(f(x),x=a1,d1));
ans3 := `if`(d1=none,limit(rhs(ff31),x=a1),limit(rhs(ff31),x=a1,d1));
if ans3 in {undefined,infinity,-infinity} then ans3 := dne end if;<Font style="Maple Input Placeholder" placeholder="true">
</Font></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ly1JImZHNiI2I0kieEdGJS1JKnBpZWNld2lzZUclKnByb3RlY3RlZEc2LDJGJyEiIyIiJDJGJyEiIiwmRiciIiIiIiVGMi9GJ0YwRjIyRiciIiMsJkYuRjIqJEYnRjZGMDJGNkYnLCZGJ0YyISIkRjI=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JS1JImZHRic2I0kieEdGJy9GLCIiIUklbGVmdEdGJw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVElYW5zM0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSIzRidGOS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdGPUY5">IiIk</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L339" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
<Group autoexecute="true" labelreference="L382" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 1.3</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="39"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L337">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal">Seja <Font bold="true" style="Text" foreground="[0,128,128]">`$ff31`</Font>

Calcule <Font bold="true" style="Text" foreground="[0,128,128]">`$fn3`</Font>

<Font encoding="UTF-8">Se o limite \303\251 indefinido, entre com a sua resposta como </Font><Font italic="true">dne</Font>.
</Text-field>
</Input>
</Group><EC-TextArea id="TextArea2" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label2" caption="Insira sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="40"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L336">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="41"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Taskdata-inline>ans3;</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="42"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L333">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(`$ANSWER`-`$RESPONSE`=0);</Text-field>
</Input>
</Group>
<Group labelreference="L363" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="43"><Font style="Text">A question can offer hints to students when requested.  Hints can contain text, 2-D Math, and algorithmic variables.  Adding hints to the question is optional.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="44"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L31" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Be sure to look for singularities caused by attempts to divide by zero.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">A plot of the function near the limit point can help.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="45"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="46"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button8" caption="Dica #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea2`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Be&amp;MediumSpace;sure&amp;MediumSpace;to&amp;MediumSpace;look&amp;MediumSpace;for&amp;MediumSpace;singularities&amp;MediumSpace;caused&amp;MediumSpace;by&amp;MediumSpace;attempts&amp;MediumSpace;to&amp;MediumSpace;divide&amp;MediumSpace;by&amp;MediumSpace;zero.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button9" caption="Dica #2" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea2`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;A&amp;MediumSpace;plot&amp;MediumSpace;of&amp;MediumSpace;the&amp;MediumSpace;function&amp;MediumSpace;near&amp;MediumSpace;the&amp;MediumSpace;limit&amp;MediumSpace;point&amp;MediumSpace;can&amp;MediumSpace;help.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button10" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="47"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L335" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="48"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="49"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button11" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea2`, `value`);   ANSWER :=  ans3;  if evalb(ANSWER-eval(parse(StudentResponse))=0) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
<Group labelreference="L395">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="50"><Font style="Text">Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response.  To include the plot option, insert the corresponding task template.  For information on creating questions, making assignments, and exporting Maple T.A. course modules, see </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="51"><Font style="Text">Algorithmic variables can be used to create a question that contains randomly generated parameters.  You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions.  To reference an algorithmic variable, include &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="52"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
<Group autoexecute="true" labelreference="L391" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

ans4 := I:
while (evalf(Im(ans4))&lt;&gt;0 and ans4 &lt;&gt; dne) do
   a4 := Generate(integer(range=-5..5)):
   while (a4 = 0) do a4 := Generate(integer(range=-5..5)) end do:
   b4 := Generate(integer(range=-6..6)):
   while (b4 = 0) do b4 := Generate(integer(range=-6..6)) end do:
   d4 := Generate(choose([left,right])):
   ff4 := (x-a4)^(b4/3);
   fn4 := Limit(ff4,x=a4,d4);
   ans4 := simplify(value(fn4));
   if ans4 in {-1..1,undefined,infinity,-infinity} then ans4 := dne end if;
end do;</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjYTRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEiMUYnRjkvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUpcmVhZG9ubHlHRj1GOQ==">IiIi</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjYjRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUkjbW5HRiQ2JFEiNUYnRjkvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUpcmVhZG9ubHlHRj1GOQ==">IiIm</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEjZDRGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSM6PUYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZMLUYsNiVRJWxlZnRGJ0YvRjIvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUpcmVhZG9ubHlHRj1GOQ==">SSVsZWZ0RzYi</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">KiQsJkkieEc2IiIiIiEiIkYmIyIiJiIiJA==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JSokLCZJInhHRiciIiIhIiJGLCMiIiYiIiQvRitGLEklbGVmdEdGJw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVElYW5zNEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSIwRidGOS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdGPUY5">IiIh</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L400" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 1.4</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="53"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L394">
<Input>
<Text-field style="Text" layout="Normal">Calcule <Font bold="true" style="Text" foreground="[0,128,128]">`$fn4`</Font>

<Font encoding="UTF-8">Se o limite \303\251 indefinido, (ou infinito) entre com a sua resposta como </Font><Font italic="true">dne</Font>.
</Text-field>
</Input>
</Group><EC-TextArea id="TextArea4" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label4" caption="Insira a sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="54"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L393">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">ans4;<Taskdata-inline tag_id="55"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Taskdata-inline></Text-field>
</Input>
</Group>
<Group labelreference="L440" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="56"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L390">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(`$ANSWER`-`$RESPONSE`=0);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="57"><Font style="Text">A question can offer hints to students when requested.  Hints can contain text, 2-D Math, and algorithmic variables.  Adding hints to the question is optional.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="58"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L38" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Be sure to look for singularities caused by attempts to divide by zero.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">A plot of the function near the limit point can help.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="59"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="60"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button16" caption="Dica #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea4`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Be&amp;MediumSpace;sure&amp;MediumSpace;to&amp;MediumSpace;look&amp;MediumSpace;for&amp;MediumSpace;singularities&amp;MediumSpace;caused&amp;MediumSpace;by&amp;MediumSpace;attempts&amp;MediumSpace;to&amp;MediumSpace;divide&amp;MediumSpace;by&amp;MediumSpace;zero.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button17" caption="Dica #2" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea4`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;A&amp;MediumSpace;plot&amp;MediumSpace;of&amp;MediumSpace;the&amp;MediumSpace;function&amp;MediumSpace;near&amp;MediumSpace;the&amp;MediumSpace;limit&amp;MediumSpace;point&amp;MediumSpace;can&amp;MediumSpace;help.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button18" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="61"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
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</Section><EC-Button id="Button19" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea4`, `value`);   ANSWER := ans4; ;  if evalb(ANSWER-eval(parse(StudentResponse))=0) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7"><Font encoding="UTF-8">Dois Limites Trigonom\303\251tricos Especiais</Font></Text-field></Title><Presentation-Block>
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<Text-field style="Normal" layout="Normal"></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">ir\303\243o aparecer repetidamente neste cap\303\255tulo. Estes limites ser\303\243o discutidos graficamente e rigorosamente derivados com a assist\303\252ncia de alguma geometria no cap\303\255tulo de fun\303\247\303\265es trigonom\303\251tricas</Font><Hyperlink linktarget="Wks:L04-LimitTrig.mw" hyperlink="true"></Hyperlink>. </Text-field>
<Text-field style="Text" opaque="true" background="[0,255,255]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">A justifica\303\247\303\243o gr\303\241fica para estes limites \303\251 obtida das Figuras 1.6 e 1.7. O primeiro limite \303\251 ilustrado por:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">e o segundo limite \303\251 ilustrado por:</Font></Text-field>
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<Text-field style="Heading 2" layout="Heading 2">Exemplo 1.5: <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
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<Text-field style="Maple Plot" layout="Maple Plot"><Plot height="400" type="two-dimensional" width="400" plot-scale="1.0" plot-xtrans="0.0" plot-ytrans="0.0" gridlinevisibility="1" legendvisibility="false">[encoded data, 18008 characters]</Plot></Text-field>
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<Text-field style="Text" layout="Normal"></Text-field>
<Text-field style="Text" layout="Normal"><Font bold="true">Figura 1.8</Font></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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<Text-field style="Text" layout="Normal">A tabela 1.1 sugere que o limite unilateral pela esquerda existe e tem valor igual a <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbW5HRiQ2JFEiM0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y0LUYjNiQtRjE2JFEiNEYnRjRGNC8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGQS8lKWJldmVsbGVkR1EmZmFsc2VGJ0Y0">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkmbWZyYWNHRiQ2KC1GIzYkLUkjbW5HRiQ2JFEiM0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y0LUYjNiQtRjE2JFEiNEYnRjRGNC8lLmxpbmV0aGlja25lc3NHUSIxRicvJStkZW5vbWFsaWduR1EnY2VudGVyRicvJSludW1hbGlnbkdGQS8lKWJldmVsbGVkR1EmZmFsc2VGJ0Y0</Equation>. </Text-field>
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<Text-field style="Text" layout="Normal">Similarmente, valores de <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+</Equation> para <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI+RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlNGNS1JI21uR0YkNiRRIjBGJ0Y5Rjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI+RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlNGNS1JI21uR0YkNiRRIjBGJ0Y5Rjk=</Equation><Font encoding="UTF-8"> (\303\240 direita do ponto onde o limite \303\251 calculado) aparecem  na Tabela 1.2:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block>
</Section>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
<Group labelreference="L357">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="64"><Font style="Text">Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response.  To include the plot option, insert the corresponding task template.  For information on creating questions, making assignments, and exporting Maple T.A. course modules, see </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="65"><Font style="Text">Algorithmic variables can be used to create a question that contains randomly generated parameters.  You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions.  To reference an algorithmic variable, include &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="66"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
<Group autoexecute="true" labelreference="L353" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

a5 := Generate(integer(range=-9..9)):
while (a4 = 0) do a5 := Generate(integer(range=-9..9)) end do:
b5 := Generate(integer(range=-9..9)):
while (b5 = 0) do b5 := Generate(integer(range=-9..9)) end do:
fn5 := Limit(sin(a4*theta)/(b4*theta),theta=0);
ans5 := value(fn5);</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwkKiYtSSRzaW5HRiQ2I0kmdGhldGFHRiciIiJGLiEiIiNGLyIiJi9GLiIiIQ==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">IyIiIiIiJg==</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L387" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 1.5</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="67"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L356">
<Input>
<Text-field style="Text" layout="Normal">Calcule <Font bold="true" style="Text" foreground="[0,128,128]">`$fn5`</Font>
</Text-field>
</Input>
</Group><EC-TextArea id="TextArea3" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label3" caption="Insira sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="68"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L355">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="69"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Taskdata-inline>ans5;</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="70"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L352">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(`$ANSWER`-`$RESPONSE`=0);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="71"><Font style="Text">A question can offer hints to students when requested.  Hints can contain text, 2-D Math, and algorithmic variables.  Adding hints to the question is optional.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="72"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L51" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Be sure to look for singularities caused by attempts to divide by zero.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">A plot of the function near the limit point can help.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="73"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="74"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button12" caption="Dica #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea3`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Be&amp;MediumSpace;sure&amp;MediumSpace;to&amp;MediumSpace;look&amp;MediumSpace;for&amp;MediumSpace;singularities&amp;MediumSpace;caused&amp;MediumSpace;by&amp;MediumSpace;attempts&amp;MediumSpace;to&amp;MediumSpace;divide&amp;MediumSpace;by&amp;MediumSpace;zero.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button13" caption="Dica #2" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea3`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;A&amp;MediumSpace;plot&amp;MediumSpace;of&amp;MediumSpace;the&amp;MediumSpace;function&amp;MediumSpace;near&amp;MediumSpace;the&amp;MediumSpace;limit&amp;MediumSpace;point&amp;MediumSpace;can&amp;MediumSpace;help.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button14" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="75"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L354" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="76"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="77"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button15" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea3`, `value`);   ANSWER :=  ans5;  if evalb(ANSWER-eval(parse(StudentResponse))=0) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mfrac&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Gr\303\241ficos e Tabelas podem induzir a Erros</Font></Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Um gr\303\241fico n\303\243o \303\251 sempre suficiente para determinar um limite. Quase todos os gr\303\241ficos gerados por computador s\303\243o, na realidade, gr\303\241ficos de uma cole\303\247\303\243o de pontos conectados para formar uma curva. Se a cole\303\247\303\243o de pontos n\303\243o for feita prudentemente, algumas informa\303\247\303\265es sobre a fun\303\247\303\243o ficar\303\243o faltando no gr\303\241fico. Pela mesma argumenta\303\247\303\243o, uma tabela de valores pode levar a erros.</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Isto \303\251 ilustrado no Exemplo 1.6:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">A Figura 1.9 cont\303\251m um gr\303\241fico da fun\303\247\303\243o:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true">Figura 1.9</Font>  </Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font family="serif" encoding="UTF-8">Exemplo 1.6: As fun\303\247\303\265es  </Font><Equation executable="false" style="Text" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYmUSJmRicvJSdmYW1pbHlHUSZzZXJpZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMCZBcHBseUZ1bmN0aW9uO0YnL0Y7USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZULUkobWZlbmNlZEdGJDYkLUYjNiQtRiw2JlEieEYnRjRGN0Y6RkFGQUZBLUY+Ni1RMSZJbnZpc2libGVUaW1lcztGJ0ZBRkNGRkZIRkpGTEZORlBGUkZVLUY+Ni1RIj1GJ0ZBRkNGRkZIRkpGTEZORlBGUkZVRmluLUkmbWZyYWNHRiQ2KC1GIzYoRistSSVtc3VwR0YkNiUtRlg2JC1GIzYuLUkjbW5HRiQ2JVEkMTAwRidGNEZBRmluRmZuRmluLUY+Ni1RKCZtaW51cztGJ0ZBRkNGRkZIRkpGTEZORlBGUkZVRmluRistRj42LVEkY29zRidGQUZDRkZGSEZKRkxGTkZQRlJGVUY9LUZYRmVuRitGQUZBLUZccDYlUSIyRidGNEZBLyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrLUYjNiRGK0ZBRitGQS1GXHA2JVEnMTAwMDAwRidGNEZBLyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZmcS8lKWJldmVsbGVkR0ZFRitGQQ==</Equation><Font family="serif"> (em preto) e </Font><Equation executable="false" style="Text" input-equation="" display="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">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</Equation><Font family="serif"> (em vermelho).</Font></Text-field></Table-Cell></Table-Row></Table></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">O gr\303\241fico de </Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+</Equation><Font encoding="UTF-8"> \303\251 indistingu\303\255vel do gr\303\241fico de </Font> <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> neste intervalo.</Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">A tabela 1.3 cont\303\251m valores de </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+</Equation> calculados para <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font encoding="UTF-8"> \303\240 esquerda e \303\240 direita de </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlMtSSNtbkdGJDYkUSIwRidGOUY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlMtSSNtbkdGJDYkUSIwRidGOUY5</Equation>.</Text-field>
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executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEnaGVhZGVyRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEjOj1GJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUy1GIzYnLUkobWZlbmNlZEdGJDYmLUYjNictRiw2JVEieEYnRjZGOS1GPTYtUSJ8Z3JGJ0ZARkJGRS9GSEY4RklGS0ZNRk8vRlJRLDAuMTExMTExMWVtRicvRlVGX28tRiw2JVEnYGYoeClgRidGNkY5LyUrZXhlY3V0YWJsZUdGREZARkAvJSVvcGVuR1EzJkxlZnRBbmdsZUJyYWNrZXQ7RicvJSZjbG9zZUdRNCZSaWdodEFuZ2xlQnJhY2tldDtGJy1GPTYtUSIsRidGQEZCL0ZGRjhGR0ZJRktGTUZPL0ZSUSYwLjBlbUYnL0ZVUSwwLjMzMzMzMzNlbUYnLUZZNiYtRiM2Jy1GLDYlUSZfX19fX0YnRjZGOUZqbi1GLDYlUTBfX19fX19fX19fX19fX19GJ0Y2RjlGZG9GQEZARmZvRmlvRmRvRkBGK0Zkb0ZARitGZG9GQC1GPTYtUSI6RidGQEZCRkVGR0ZJRktGTUZPRlFGVEZkb0ZA">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</Equation><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation><Equation executable="true" style="2D Input" input-equation="" display="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">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</Equation><Equation executable="true" style="2D Input" input-equation="" 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executable="true" style="2D Input" input-equation="" 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<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false">O lado esquerdo da Tabela 1.3 mostra valores convergindo para <Font italic="true">x</Font><Font encoding="UTF-8"> = 0 pela direita do ponto onde o limite \303\251 calculado, enquanto o lado direito mostra valores convergindo para </Font><Font italic="true">x </Font><Font encoding="UTF-8">= 0 pela direita do ponto onde o limite \303\251 calculado.</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">A mais prov\303\241vel conjectura sobre este limite baseada na  Tabela 1.3 \303\251 que:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Entretanto, isto est\303\241 incorreto.</Font></Text-field>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Este limite pode ser avaliado pela avalia\303\247\303\243o direta desta fun\303\247\303\243o em </Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=</Equation><Font encoding="UTF-8">. Esta opera\303\247\303\243o fornece:</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">o qual est\303\241 em concord\303\242ncia com Maple, como visto em: </Font></Text-field>
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<Text-field style="Text" layout="Normal">Portanto, a Figura 1.9 e a Tabela 1.3 induziram a um erro. A figura 1.10, obtida ao fazer um zoom no <Hyperlink linktarget="Wks:../Dicion\303\241rio/I/interval.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">intervalo</Font></Hyperlink><Font encoding="UTF-8"> [-0.01, 0.01 ], mostra que as fun\303\247\303\265es s\303\243o bem diferentes</Font>.</Text-field>
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<Text-field style="Text" layout="Normal"><Font bold="true">Figura 1.10</Font>  </Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">As fun\303\247\303\265es </Font><Equation executable="false" style="2D Math" input-equation="" 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(em preto) e <Equation executable="false" style="2D Math" input-equation="" 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(em vermelho), desenhadas no intervalo <Equation executable="false" style="2D Math" input-equation="" 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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">O objetivo do Exemplo 1.6 \303\251 ilustrar que nem um gr\303\241fico nem uma tabela de valores podem justificar completamente a avalia\303\247\303\243o de um limite. Os gr\303\241ficos da fun\303\247\303\243o e as correspondentes tabelas de valores  podem ser \303\272teis, mas s\303\243o somente o primeiro passo. Felizmente, a informa\303\247\303\243o obtida da tabela de valores da fun\303\247\303\243o sugere outros m\303\251todos e t\303\251cnicas para justificar a avalia\303\247\303\243o de um limite. </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
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<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="78"><Font style="Text">Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response.  To include the plot option, insert the corresponding task template.  For information on creating questions, making assignments, and exporting Maple T.A. course modules, see </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
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<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="79"><Font style="Text">Algorithmic variables can be used to create a question that contains randomly generated parameters.  You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions.  To reference an algorithmic variable, include &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="80"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

a6 := Generate(integer(range=1..3)):
b6 := Generate(integer(range=-3..5)):
while (b6=0) do b6 := Generate(integer(range=-3..5)) end do:
s6 := Generate(choose([-1,1])):
t6 := Generate(choose([1,2])):
ff61 := (cos(x),sin(x))[t6]:
ff62 := x^a6+s6*ff61/10^b6:
fn6 := Limit(ff62,x=0);
ans6 := value(fn6);
</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JCwmSSJ4R0YnIiIiLUkkc2luR0YkNiNGKiMhIiIiJisrIi9GKiIiIQ==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVElYW5zNkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSIwRidGOS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdGPUY5">IiIh</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L421" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 1.6</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="81"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L419">
<Input>
<Text-field style="Text" layout="Normal">Calcule <Font bold="true" style="Text" foreground="[0,128,128]">`$fn6`</Font></Text-field>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group><EC-TextArea id="TextArea5" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label5" caption="Insira sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="82"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L418">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="83"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Taskdata-inline>ans6;</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="84"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L415">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(`$ANSWER`-`$RESPONSE`=0);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="85"><Font style="Text">A question can offer hints to students when requested.  Hints can contain text, 2-D Math, and algorithmic variables.  Adding hints to the question is optional.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="86"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L63" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="87"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="88"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 2.</Font></Taskdata-inline></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="89"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="90"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button20" caption="Hint #1" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button><EC-Button id="Button21" caption="Hint #2" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button><EC-Button id="Button22" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="91"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L417" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="92"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="93"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button23" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea5`, `value`);   ANSWER :=  ans6;  if evalb(ANSWER-eval(parse(StudentResponse))=0) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7"><Font encoding="UTF-8">Limites para Fun\303\247\303\265es Oscilat\303\263rias</Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/O/oscillate -.mw" hyperlink="true" encoding="UTF-8"></Hyperlink></Text-field></Title>
<Text-field style="Text" layout="Normal"></Text-field><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L2024" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=</Equation></Text-field>
</Input>
</Group></Presentation-Block><Presentation-Block>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="centred" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="true" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Figura 1.11</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" encoding="UTF-8" readonly="false" foreground="[0,0,0]">  Tr\303\252s per\303\255odos da fun\303\247\303\265es seno e cosseno.</Font></Text-field></Table-Cell></Table-Row></Table><Presentation-Block>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Exemplo 1.7 ilustra o limite de uma fun\303\247\303\243o com oscila\303\247\303\265es pr\303\263ximo de um ponto limite</Font> <Hyperlink linktarget="Wks:../Dicion\303\241rio/F/finite -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">finito</Font></Hyperlink>.</Text-field>
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<Text-field style="Heading 2" layout="Heading 2">Exemplo 1.7: <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>  </Text-field></Title><Presentation-Block>
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<Text-field style="Text" layout="Normal">Observe que o <Hyperlink linktarget="Wks:../Dicion\303\241rio/P/period.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">per\303\255odo</Font></Hyperlink><Font encoding="UTF-8"> das oscila\303\247\303\265es aumenta quando os pontos se movem pr\303\263ximo \303\240 </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/O/origin -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">origem</Font></Hyperlink><Font encoding="UTF-8"> -- pela esquerda e pela direita. Isto sugere que a fun\303\247\303\243o vai tomar todos os valores entre -1</Font> e 1<Font encoding="UTF-8"> infinitamente pr\303\263ximos a </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=</Equation><Font encoding="UTF-8">. Em particular, o valor da fun\303\247\303\243o n\303\243o se aproxima de apenas um ponto e o limite (unilateral ou bilateral) n\303\243o existe.</Font></Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Observe que o c\303\241lculo do Maple do limite informa que o limite n\303\243o existe e a raz\303\243o disto \303\251 que os valores oscilam entre -1</Font> e 1.</Text-field>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtSSRzaW5HRiU2IyokSSJ4R0YoISIiL0YuIiIhO0YvIiIi</Equation></Text-field>
</Output>
</Group></Presentation-Block><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L1853" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"></Text-field>
</Input>
</Group></Presentation-Block>
</Section><Presentation-Block>
<Group view="presentation" hide-input="false" hide-output="true" inline-output="false" labelreference="L1846" drawlabel="true">
<Input>
<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Hyperlink linktarget="Wks:L05-LimitAtInfinity.mw" hyperlink="true"></Hyperlink></Text-field>
</Input>
</Group></Presentation-Block>
<Text-field style="Text" layout="Normal"></Text-field>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field></Title>
<Group labelreference="L437">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="94"><Font style="Text">Using the Maple-graded question type, you create a question that uses Maple functionality when creating the correct answer and determining if the student's response is correct. The Maple-graded question type has an option to plot the student's response.  To include the plot option, insert the corresponding task template.  For information on creating questions, making assignments, and exporting Maple T.A. course modules, see </Font><Hyperlink linktarget="Help:MapleT.A.IntegrationOverview" hyperlink="true"><Font style="Hyperlink">Overview of Maple T.A. Integration</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
<Section collapsed="false" QuestionSection="Algorithmic Variables" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="95"><Font style="Text">Algorithmic variables can be used to create a question that contains randomly generated parameters.  You can refer to algorithmic variables in the Question, Answer, Hints, and Feedback input regions, as well as in other variable definitions.  To reference an algorithmic variable, include &quot;<Font bold="true" foreground="[0,128,128]">`$variable`</Font>&quot; as text or 2-D Math, for example, <Font bold="true">x := `$myvariable`</Font>.  Adding algorithmic variables to the question is optional.  </Font></Taskdata-inline>

In the following execution group, add an algorithmic variable. <Taskdata-inline tag_id="96"><Font style="Text"> To include more variables, add more execution groups.  If your assignment contains more than one algorithmic variable, ensure the variable names are unique.</Font></Taskdata-inline></Text-field>
<Group autoexecute="true" labelreference="L433" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

a7 := Generate(integer(range=-4..4)):
n7 := Generate(choose([1,2,3])):
ff7 := (sin(x^a7),cos(x^a7),tan(x^a7))[n7]:
fn7 := Limit(ff7,x=0);
ans7 := value(fn7);
if ans7 in {-1..1,infinity,-infinity,undefined} then ans7 := dne end if;<Font style="Maple Input Placeholder" placeholder="true">


</Font></Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LUkmTGltaXRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JJHNpbkdGJDYjKiRJInhHRiciIiUvRi0iIiE=</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVElYW5zN0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtSSNtbkdGJDYkUSIwRidGOS8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdGPUY5">IiIh</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L438" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRic=">JSFH</Equation></Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Question" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 1.7</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="97"><Font style="Text">The question can contain text, 2-D Math, plots, images, and algorithmic variables.  To insert a plot in the question, use the </Font><Hyperlink linktarget="Help:PlotComponent" hyperlink="true"><Font style="Hyperlink">Plot Component</Font></Hyperlink><Font style="Text">.</Font></Taskdata-inline>

In the following text region, enter the full contents of the question.</Text-field>
<Group labelreference="L436">
<Input>
<Text-field style="Text" layout="Normal">Calcule <Font bold="true" style="Text" foreground="[0,128,128]">`$fn7`</Font>

<Font encoding="UTF-8">Se o limite \303\251 indefinido ou infinito, entre sua resposta como </Font><Font italic="true">dne</Font>.
</Text-field>
</Input>
</Group><EC-TextArea id="TextArea6" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label6" caption="Insira sua resposta usando a sintaxe do Maple" enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJw==">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="98"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$ANSWER`</Font>. </Font></Taskdata-inline>

Enter Maple code in 1-D Math that evaluates to the correct answer.  Add additional execution groups as needed.</Text-field>
<Group labelreference="L435">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="99"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRicvJSdmYW1pbHlHUTBUaW1lc35OZXd+Um9tYW5GJy8lJWJvbGRHUSZmYWxzZUYnLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lK2V4ZWN1dGFibGVHRjQvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Taskdata-inline>ans7;</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Response" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="100"><Font style="Text">To evaluate a student's response, you must evalute to a Boolean value (true or false).  The variable <Font bold="true">`$RESPONSE`</Font> is automatically initialized to the student's response. Using <Font bold="true">`$ANSWER`</Font> (the correct answer) and `<Font bold="true">$RESPONSE`</Font> (the student response), one example of evaluating to a Boolean value is, <Font bold="true">evalb(`$ANSWER`-`$RESPONSE`=0);</Font></Font></Taskdata-inline>

Enter Maple code to evaluate a student's response.  To add additional Maple functionality, use the Answer input region.</Text-field>
<Group labelreference="L432">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">evalb(`$ANSWER`-`$RESPONSE`=0);</Text-field>
</Input>
</Group>
</Section>
<Section collapsed="false" QuestionSection="Hints" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="101"><Font style="Text">A question can offer hints to students when requested.  Hints can contain text, 2-D Math, and algorithmic variables.  Adding hints to the question is optional.
</Font></Taskdata-inline>
Enter your hints in the following table.  <Taskdata-inline tag_id="102"><Font style="Text">You can provide up to three hints.</Font></Taskdata-inline></Text-field><Table interior="group" showinput="true" alignment="left" exterior="all" width="100%" labelreference="L72" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="100" separator="true"></Table-Column><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Try plotting the function.</Font></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="103"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="104"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 2.</Font></Taskdata-inline></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="true"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Taskdata-inline tag_id="105"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="serif" executable="false"> </Font></Taskdata-inline><Taskdata-inline tag_id="106"><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Replace this text with hint 3.</Font></Taskdata-inline><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font></Text-field></Table-Cell></Table-Row></Table><EC-Button id="Button24" caption="Hint #1" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea6`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Try&amp;MediumSpace;plotting&amp;MediumSpace;the&amp;MediumSpace;function.&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button25" caption="Hint #2" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button><EC-Button id="Button26" caption="Hint #3" pixel-width="300" pixel-height="200" enabled="true" visible="false" show-border="true" user-size="false"><MapleCode action="click-event-handler"></MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="107"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$RESPONSE`</Font> (the student response) and <Font bold="true">`$ANSWER` </Font>(the correct answer).  Adding feedback to the question is optional.</Font></Taskdata-inline>

In the following text region, enter feedback to an incorrect response.</Text-field>
<Group labelreference="L434" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="108"><Font bold="false" style="Maple Input Placeholder" placeholder="true" family="Times New Roman" executable="false" foreground="[95,0,217]"> </Font></Taskdata-inline><Taskdata-inline tag_id="109"><Font style="Text">Replace this text with feedback.</Font></Taskdata-inline></Text-field>
</Input>
</Group>
</Section><EC-Button id="Button27" caption="Grade" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): feedback:=&quot;&quot;; StudentResponse := GetProperty(`TextArea6`, `value`);   ANSWER :=  ans7;  if evalb(ANSWER-eval(parse(StudentResponse))=0) then    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Correct!&amp;NewLine;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;);  else    if StudentResponse = &quot;&quot; then StudentResponse:=&quot;&amp;lt;NO RESPONSE&amp;gt;&quot;; fi;    feedback:=cat(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext mathvariant='bold'&gt;Your answer is incorrect.&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;mtext mathvariant='bold'&gt;Your Answer:&amp;nbsp;&lt;/mtext&gt;&lt;mtext&gt;&quot;, StudentResponse, &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;mtext mathvariant='bold'&gt;Correct Answer:&amp;nbsp;&lt;/mtext&gt;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&quot;);    feedback:=cat(feedback, SubstituteAll(&quot;&lt;mrow&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&quot;, &quot;`$RESPONSE`&quot;, StudentResponse));    feedback:=SubstituteAll(feedback, &quot;`$ANSWER`&quot;, &quot;&lt;math xmlns='http://www.w3.org/1998/Math/MathML'&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;/math&gt;&quot;);    feedback:=cat(feedback, &quot;&lt;/mrow&gt;&lt;/math&gt;&quot;);  fi;  with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Feedback&quot;, [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): if feedback &lt;&gt; &quot;&quot; then Maplets[Display](maplet); fi; </MapleCode></EC-Button>
</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 2" spaceabove="7">Resumo </Text-field></Title>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">Neste cap\303\255tulo n\303\263s desenvolvemos o seguinte procedimento geral para o c\303\241lculo de limites:</Font></Text-field>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Uma Abordagem baseada nas Defini\303\247\303\265es para Calcular </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEkbGltRicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1GIzYlLUkobWZlbmNlZEdGJDYkLUYjNictRiw2I1EhRictRiM2Ky1GLDYlUSJmRicvRjBRJXRydWVGJy9GM1EnaXRhbGljRictSSNtb0dGJDYtUSJ+RidGMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRmZuLUY4NiQtRiM2J0Y8LUYjNiUtRiw2JVEieEYnRkRGRi8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRidGMkY8RmJvRjJGMi1GSTYtUSIsRidGMkZML0ZPRkVGUEZSRlRGVkZYRlovRmhuUSwwLjMzMzMzMzNlbUYnRl9vLUZJNi1RIj1GJ0YyRkxGTkZQRlJGVEZWRlgvRmVuUSwwLjI3Nzc3NzhlbUYnL0ZobkZfcC1GLDYlUSJhRidGREZGRmJvRjJGPEZib0YyRjJGYm9GMkY8LUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHRmZuLyUmZGVwdGhHRmlwLyUqbGluZWJyZWFrR1EobmV3bGluZUYnLUZlcDYmRmdwRmpwRlxxL0ZfcVElYXV0b0YnRjxGYm9GMg==">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</Equation></Text-field></Title>
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<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">O primeiro passo na maioria dos problemas de limite seria fazer o gr\303\241fico ou visualizar de outra forma a fun\303\247\303\243o em um intervalo apropriado.</Font></Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">Os limites mais f\303\241ceis de calcular s\303\243o aqueles onde \303\251 poss\303\255vel avaliar a fun\303\247\303\243o no ponto onde o limite deve ser calculado. O gr\303\241fico pode sugerir se isto \303\251 poss\303\255vel para um problema.</Font></Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">Divis\303\243o por zero \303\251 um problema que pode impedir uma avalia\303\247\303\243o direta de um limite.</Font></Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">Fatora\303\247\303\243o e cancelamento de</Font> <Hyperlink linktarget="Wks:../Dicion\303\241rio/E/exponent.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">pot\303\252ncias</Font></Hyperlink> de (<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=</Equation><Font encoding="UTF-8"> ) pode levar a um limite equivalente que pode ser calculado por avalia\303\247\303\243o direta. (Pois este m\303\251todo de trabalho muda o valor da fun\303\247\303\243o somente em </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=</Equation><Font encoding="UTF-8"> e o valor da fun\303\247\303\243o neste ponto n\303\243o influencia a exist\303\252ncia do limite ou do seu valor).</Font></Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">Um limite bilateral existe somente quando ambos os limites laterais, pela esquerda e pela direita existem e t\303\252m o mesmo valor. Se os limites laterais pela esquerda e pela direita existirem mas tiverem valores diferentes, a fun\303\247\303\243o experimenta um</Font> <Hyperlink linktarget="Wks:../Dicion\303\241rio/J/jumpdiscontinuity.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">salto</Font></Hyperlink> neste ponto e o limite bilateral<Font encoding="UTF-8"> n\303\243o existe</Font>.</Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">Existem dois limites especiais envolvendo fun\303\247\303\265es trigonom\303\251tricas. Estes limites podem ser usados para avaliar outros limites trigonom\303\251tricos, incluindo alguns que aparecer\303\243o na discuss\303\243o de</Font> <Hyperlink linktarget="Wks:../Dicion\303\241rio/D/derivative.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">derivadas</Font></Hyperlink>.</Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">N\303\243o seja muito confiante quando usar um gr\303\241fico ou tabela de valores da fun\303\247\303\243o para avaliar um limite. Se n\303\243o forem escolhidos com muito cuidado, eles poder\303\243o induzir a erros!</Font></Text-field>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 1" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Pr\303\263ximo Cap\303\255tulo</Font></Text-field></Title>
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<Text-field style="Text" alignment="left" firstindent="0" spacebelow="0" leftmargin="0" linespacing="0.0" initial="0" linebreak="space" rightmargin="0" bulletsuffix="" spaceabove="0" bullet="none" pagebreak-before="false"><Font encoding="UTF-8">O pr\303\263ximo cap\303\255tulo usa as id\303\251ias apresentadas neste cap\303\255tulo para desenvolver uma defini\303\247\303\243o precisa de um limite.</Font></Text-field>
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