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<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Defini\303\247\303\243o Precisa de Limite </Font></Text-field></Title>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Come\303\247amos o Cap\303\255tulo 2 com uma defini\303\247\303\243o precisa da fun\303\247\303\243o com valores reais</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkY+RitGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkY+RitGPg==</Equation><Font encoding="UTF-8">. O limite \303\251 um n\303\272mero designado pela letra </Font><Font italic="true">L</Font><Font encoding="UTF-8">. A nota\303\247\303\243o para o limite de </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkY+RitGPg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkY+RitGPg==</Equation> em <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJhRidGL0YyRjk=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJhRidGL0YyRjk=</Equation><Font encoding="UTF-8">  \303\251:</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> </Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Se este limite \303\251 o n\303\272mero </Font><Font italic="true">L</Font>,<Font italic="true"> </Font>escrevemos:</Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KUYrLUknbXVuZGVyR0YkNiUtSSNtb0dGJDYtUSRsaW1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR1EldHJ1ZUYnLyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTY2NjY2N2VtRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHRkgvRjlRJ2l0YWxpY0YnLUY1Ni1RJyZyYXJyO0YnRjhGO0Y+L0ZBRkhGQkZEL0ZHRj1GSS9GTFEsMC4yNzc3Nzc4ZW1GJy9GT0Zqbi1GLDYlUSJhRidGVkZYRjgvJSxhY2NlbnR1bmRlckdGPS1GNTYtUTAmQXBwbHlGdW5jdGlvbjtGJ0Y4RjtGPkZARkJGREZobkZJRksvRk9GTS1GIzYmLUYsNiVRImZGJ0ZWRlhGYW8tSShtZmVuY2VkR0YkNiQtRiM2JEZTRjhGOEY4LUY1Ni1RIj1GJ0Y4RjtGPkZARkJGREZobkZJRmluRltvLUYsNiVRIkxGJ0ZWRlhGOEYrRjg=">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</Equation> </Text-field>
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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">A defini\303\247\303\243o precisa do limite nos diz quando esta afirma\303\247\303\243o \303\251 verdadeira. Portanto, temos:</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true" encoding="UTF-8" size="14">Defini\303\247\303\243o 2.1</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]">
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0 existir um n\303\272mero </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  &gt; 0 tal que se 0 &lt; <Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21vR0YkNi1RKSZ2ZXJiYXI7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y6LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjovJShsYXJnZW9wR0Y6LyUubW92YWJsZWxpbWl0c0dGOi8lJ2FjY2VudEdGOi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkotRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHRj8vRjZRJ2l0YWxpY0YnLUYyNi1RKCZtaW51cztGJ0Y1RjhGOy9GPkY6RkBGQkZERkYvRklRLDAuMjIyMjIyMmVtRicvRkxGZW4tRiw2JVEiYUYnRlJGVEY1RjFGNUYrRjU=</Equation>  &lt; 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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Esta defini\303\247\303\243o caracteriza rigorosamente a ess\303\252ncia de &quot;proximidade&quot;. Ela declara que se os valores de </Font><Font italic="true">f (x) </Font><Font encoding="UTF-8">s\303\243o arbitrariamente pr\303\263ximos do n\303\272mero quando </Font><Font italic="true">L </Font><Font encoding="UTF-8">for suficientemente pr\303\263ximo de </Font><Font italic="true">a,</Font> <Font encoding="UTF-8">ent\303\243o</Font><Font italic="true"> L </Font><Font encoding="UTF-8">\303\251 o limite desses valores da fun\303\247\303\243o. 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opaque="true" background="[255,255,255]" encoding="UTF-8">\316\265 para todo </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjhRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjhRJ25vcm1hbEYn</Equation><Font opaque="true" background="[255,255,255]" encoding="UTF-8"> pr\303\263ximo de </Font><Equation executable="false" style="2D Math" input-equation="" 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<Font italic="true">a</Font><Font encoding="UTF-8"> \303\251 ditada pela inequa\303\247\303\243o </Font><Font opaque="true" background="[255,255,255]"> </Font><Equation executable="false" style="2D Math" input-equation="" 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<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Como esta defini\303\247\303\243o pode ser dif\303\255cil de se entender \303\240 primeira vista veremos a seguir v\303\241rios exemplos que interpretam esta defini\303\247\303\243o graficamente.</Font></Text-field>
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<Text-field style="Heading 1" layout="Heading 1" spaceabove="7"><Font encoding="UTF-8">Interpreta\303\247\303\243o Gr\303\241fica do Limite</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Uma defini\303\247\303\243o na maioria das vezes torna-se muito mais compreens\303\255vel quando ela pode ser expressa graficamente. O maplet</Font> <Hyperlink linktarget="Maplet:..\134Maplets\134EpsilonDelta.maplet" hyperlink="true" encoding="UTF-8"><Font style="Hyperlink">EpsilonDelta</Font></Hyperlink><Font encoding="UTF-8"> nos d\303\241 uma excelente </Font>interface<Font encoding="UTF-8"> para a visualiza\303\247\303\243o dos pap\303\251is de </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> e <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSUYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSUYy</Equation><Font encoding="UTF-8">para obter, como conseq\303\274\303\252ncia, uma compreens\303\243o te\303\263rica de limites.</Font></Text-field>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Exemplo 2.1: <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" 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 bold="true">1. Siga estes passos:</Font></Text-field>
<Text-field style="Bullet Item" layout="Bullet Item">Inicie o maplet <Hyperlink linktarget="Maplet:..\134Maplets\134EpsilonDelta.maplet" hyperlink="true" encoding="UTF-8"><Font style="Hyperlink">EpsilonDelta</Font></Hyperlink> .</Text-field>
<Text-field style="Bullet Item" layout="Bullet Item">Na parte superior da interface, entre a <Hyperlink linktarget="Wks:../Dicion\303\241rio/F/function -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">fun\303\247\303\243o</Font></Hyperlink> com 3*x - 4, e insira a = 3 e L = 5 nas janelas apropriadas.  </Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">Coloque para os limites do gr\303\241fico </Font>xmin = 0, xmax = 5, ymin = 0, e ymax = 10.</Text-field>
<Text-field style="Bullet Item" layout="Bullet Item">Coloque <Hyperlink linktarget="Wks:../Dicion\303\241rio/E/epsilon.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">epsilon</Font></Hyperlink> = 0.50 e <Hyperlink linktarget="Wks:../Dicion\303\241rio/D/delta.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">delta</Font></Hyperlink> = 0.50 (entre com estes valores nas caixas ou use o deslizador <Font encoding="UTF-8">at\303\251 pr\303\263ximo destes valores) </Font></Text-field>
<Text-field style="Bullet Item" layout="Bullet Item"><Font encoding="UTF-8">Clique no bot\303\243o Plot na parte inferior da janela do maplet .</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="Times New Roman" 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="Times New Roman" opaque="false" underline="false" background="[255,255,255]" encoding="UTF-8" readonly="false" foreground="[0,0,0]">A figura 2.1 mostra como fica o maplet ap\303\263s esses passos</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">.</Font></Text-field>
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<Text-field style="Text" layout="Normal" alignment="centred"><Font bold="true">Figura 2.1</Font>    Maplet depois dos passos iniciais detalhados acima.</Text-field></Table-Cell></Table-Row></Table>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" 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 style="Text" encoding="UTF-8" italic="true">Note que a faixa horizontal azul n\303\243o est\303\241 contida entre as linhas vermelhas. Isso significa que esse valor de </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font style="Text" encoding="UTF-8" italic="true"> \303\251  grande demais para </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/S/satisfy.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" italic="true">satisfazer</Font></Hyperlink><Font style="Text" encoding="UTF-8" italic="true"> as condi\303\247\303\265es da defini\303\247\303\243o de limite.</Font></Text-field>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" 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>
<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 bold="true">2. Mude o valor de delta para <Font foreground="[255,0,0]">0.05</Font>.</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 italic="true">Agora, a faixa horizontal azul fica inteiramente contida entre as linhas vermelhas. Esse valor de </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font encoding="UTF-8" italic="true"> satisfaz as condi\303\247\303\265es na defini\303\247\303\243o de limite.</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"></Text-field>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" 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="Times New Roman" opaque="false" underline="false" background="[255,255,255]" encoding="UTF-8" readonly="false" foreground="[0,0,0]">Por\303\251m isso n\303\243o \303\251 suficiente! A defini\303\247\303\243o declara que deve ser poss\303\255vel achar um </Font><Font style="Text" encoding="UTF-8">\316\264 para </Font><Font bold="true" style="Text">cada</Font><Font style="Text"> </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font style="Text">  &gt; 0.</Font></Text-field>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" 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 style="Text" encoding="UTF-8">At\303\251 o momento, n\303\263s mostramos que essa propriedade \303\251 verdadeira somente para</Font><Font style="Text"> </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font style="Text">  = 0.5.</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 bold="true">3. Encontre (de forma exata ou de forma aproximada) o maior valor de  </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font bold="true" encoding="UTF-8">  para o qual as condi\303\247\303\265es da defini\303\247\303\243o do limite sejam satisfeitas para  </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font bold="true">  = 0.50. </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 bold="true">4. Repita o passo 3 para </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font bold="true" encoding="UTF-8">  = 0.25. (Voc\303\252 deve tentar </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font bold="true">  = 0.1 e </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font bold="true" encoding="UTF-8"> =0.05 para come\303\247ar.)</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 bold="true" encoding="UTF-8">5. Voc\303\252 pode fazer algumas observa\303\247\303\265es sobre uma regra geral para a selecionar </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font bold="true"> para qualquer </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font bold="true"> dado ? </Font></Text-field>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Exemplo 2.2: <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> </Text-field></Title>
<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">1. Considere o mesmo limite, mas com um valor incorreto do limite (digamos, <Font bold="true">L</Font> = 2).</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">2. Escolha um valor (positivo) para <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>.</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">3. Voc\303\252 pode encontrar um valor de</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font encoding="UTF-8"> que satisfa\303\247a as condi\303\247\303\265es da defini\303\247\303\243o de um limite? </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="Times New Roman" 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="Times New Roman" opaque="false" underline="false" background="[0,0,0]" encoding="UTF-8" readonly="false" foreground="[0,0,0]">Se voc\303\252 encontrar um valor de </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[0,0,0]" readonly="false" foreground="[0,0,0]"> </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[0,0,0]" encoding="UTF-8" readonly="false" foreground="[0,0,0]">  &gt; 0 para o qual as condi\303\247\303\265es n\303\243o s\303\243o satisfeitas, isso prova que esse valor de </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="true" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[0,0,0]" readonly="false" foreground="[0,0,0]">L </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[0,0,0]" encoding="UTF-8" readonly="false" foreground="[0,0,0]">\303\251 incorreto. Ou o limite tem um valor diferente ou n\303\243o existe.</Font></Text-field>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Exemplo 2.3: <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KkYrLUknbXVuZGVyR0YkNiUtSSNtb0dGJDYtUSRsaW1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR1EldHJ1ZUYnLyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTY2NjY2N2VtRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHRkgvRjlRJ2l0YWxpY0YnLUY1Ni1RJyZyYXJyO0YnRjhGO0Y+RkBGQkZEL0ZHRj1GSUZLL0ZPRk0tSSNtbkdGJDYkUSIzRidGOEY4LyUsYWNjZW50dW5kZXJHRj1GKy1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC40ZW1GJy8lJmRlcHRoR0Zkby8lKmxpbmVicmVha0dRJWF1dG9GJ0YrLUYjNiYtRjU2LVEiKEYnRjgvRjxGSEY+L0ZBRkhGQkZERmduRklGS0Zobi1GIzYpRistRiM2JkYrLUklbXN1cEdGJDYlRlMtRmpuNiRRIjJGJ0Y4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrRjgtRjU2LVEoJm1pbnVzO0YnRjhGO0Y+RkBGQkZERmduRklGS0Zobi1GIzYmRmluLUY1Ni1RMSZJbnZpc2libGVUaW1lcztGJ0Y4RjtGPkZARkJGREZnbkZJRktGaG5GU0Y4LUY1Ni1RIitGJ0Y4RjtGPkZARkJGREZnbkZJL0ZMUSwwLjIyMjIyMjJlbUYnL0ZPRl1yRmluRjgtRjU2LVEiKUYnRjhGYnBGPkZjcEZCRkRGZ25GSUZLL0ZPUSwwLjExMTExMTFlbUYnRjhGK0Y4RitGOA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KkYrLUknbXVuZGVyR0YkNiUtSSNtb0dGJDYtUSRsaW1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR1EldHJ1ZUYnLyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTY2NjY2N2VtRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHRkgvRjlRJ2l0YWxpY0YnLUY1Ni1RJyZyYXJyO0YnRjhGO0Y+RkBGQkZEL0ZHRj1GSUZLL0ZPRk0tSSNtbkdGJDYkUSIzRidGOEY4LyUsYWNjZW50dW5kZXJHRj1GKy1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC40ZW1GJy8lJmRlcHRoR0Zkby8lKmxpbmVicmVha0dRJWF1dG9GJ0YrLUYjNiYtRjU2LVEiKEYnRjgvRjxGSEY+L0ZBRkhGQkZERmduRklGS0Zobi1GIzYpRistRiM2JkYrLUklbXN1cEdGJDYlRlMtRmpuNiRRIjJGJ0Y4LyUxc3VwZXJzY3JpcHRzaGlmdEdRIjBGJ0YrRjgtRjU2LVEoJm1pbnVzO0YnRjhGO0Y+RkBGQkZERmduRklGS0Zobi1GIzYmRmluLUY1Ni1RMSZJbnZpc2libGVUaW1lcztGJ0Y4RjtGPkZARkJGREZnbkZJRktGaG5GU0Y4LUY1Ni1RIitGJ0Y4RjtGPkZARkJGREZnbkZJL0ZMUSwwLjIyMjIyMjJlbUYnL0ZPRl1yRmluRjgtRjU2LVEiKUYnRjhGYnBGPkZjcEZCRkRGZ25GSUZLL0ZPUSwwLjExMTExMTFlbUYnRjhGK0Y4RitGOA==</Equation> </Text-field></Title>
<Text-field style="Text" layout="Normal"></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">1. Encontre o valor desse limite.</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">2. Encontre valores de <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font encoding="UTF-8">  que satisfa\303\247am as condi\303\247\303\265es da defini\303\247\303\243o para</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  = 0.50, <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  = 0.25, e <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  = 0.10.</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">3. Tente encontrar uma f\303\263rmula geral para </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> em termos de <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font encoding="UTF-8"> que satisfa\303\247a as condi\303\247\303\265es da defini\303\247\303\243o.</Font></Text-field>
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</Input>
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</Section>
<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Exemplo 2.4: <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KkYrLUknbXVuZGVyR0YkNiUtSSNtb0dGJDYtUSRsaW1GJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR1EldHJ1ZUYnLyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMTY2NjY2N2VtRictRiM2Ji1GLDYlUScmIzk1MjtGJy8lJ2l0YWxpY0dGPUY4LUY1Ni1RJyZyYXJyO0YnRjhGO0Y+RkBGQkZEL0ZHRj1GSUZLL0ZPRk0tSSNtbkdGJDYkUSIwRidGOEY4LyUsYWNjZW50dW5kZXJHRj1GKy1JJ21zcGFjZUdGJDYmLyUnaGVpZ2h0R1EmMC4wZXhGJy8lJndpZHRoR1EmMC40ZW1GJy8lJmRlcHRoR0Ziby8lKmxpbmVicmVha0dRJWF1dG9GJ0YrLUYjNiYtRjU2LVEiKEYnRjgvRjxGSEY+L0ZBRkhGQkZERmVuRklGS0Zmbi1GIzYnRistRiM2Jy1GLDYlUSRzaW5GJ0ZWRjgtRjU2LVEwJkFwcGx5RnVuY3Rpb247RidGOEY7Rj5GQEZCRkRGZW5GSUZLRmZuLUYjNiZGXXAtRiM2JkYrLUYjNiYtRiw2JVEnJiM5NjA7RidGVkY4LUY1Ni1RMSZJbnZpc2libGVUaW1lcztGJ0Y4RjtGPkZARkJGREZlbkZJRktGZm5GU0Y4RitGOC1GNTYtUSIpRidGOEZgcEY+RmFwRkJGREZlbkZJRksvRk9RLDAuMTExMTExMWVtRidGOEYrRjgtRjU2LVEiPUYnRjhGO0Y+RkBGQkZERmVuRkkvRkxRLDAuMjc3Nzc3OGVtRicvRk9GYXJGZ25GOEZocUY4RitGOEYrRjg=">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</Equation> </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"></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">1. Escolha um valor para <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  com <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  &gt; 1. Explique porque qualquer <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  &gt; 0 <Hyperlink linktarget="Wks:../Dicion\303\241rio/S/satisfy.mw" hyperlink="true" encoding="UTF-8"><Font style="Text" encoding="UTF-8">satisfaz as condi\303\247\303\265es na defini\303\247\303\243o</Font></Hyperlink>.</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">2. Declare <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font encoding="UTF-8">  = 0.50. Qual \303\251 o menor valor que </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font encoding="UTF-8"> pode ter para satisfazer as condi\303\247\303\265es na defini\303\247\303\243o? </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">3. Repita com  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  = 0.25 e <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  = 0.10.</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">4. Voc\303\252 pode encontrar uma f\303\263rmula geral para</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font encoding="UTF-8"> que satisfa\303\247a o limite para qualquer </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> &gt; 0?</Text-field>
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<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Exemplo 2.5: <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" 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">1. Encontre o valor desse limite (se ele existir).</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">2. Encontre valores de <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font encoding="UTF-8"> que satisfa\303\247am as condi\303\247\303\265es da defini\303\247\303\243o para</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  = 0.50, <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  = 0.25, e <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  = 0.10.</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">Tendo completado estes cinco exemplos, voc\303\252 est\303\241 pronto(a) agora para aprender como usar a defini\303\247\303\243o de limites para provar que um limite tem um dado valor.</Font></Text-field>
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<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Escrevendo Provas <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font size="20"> </Font>para Limites</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">A interpreta\303\247\303\243o gr\303\241fica da defini\303\247\303\243o deve ter dado uma melhor compreens\303\243o dos pap\303\251is de </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> e <Equation executable="false" style="2D Math" input-equation="" display="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">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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">e tentar identificar modos nos quais estes podem ser relacionados por uma <Hyperlink linktarget="Wks:../Dicion\303\241rio/C/constant.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">constante</Font></Hyperlink> vezes uma <Hyperlink linktarget="Wks:../Dicion\303\241rio/E/exponent.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">pot\303\252ncia</Font></Hyperlink> de <Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUScmIzk0ODtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGNkY3RitGOkY3">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUScmIzk0ODtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUrZXhlY3V0YWJsZUdGNkY3RitGOkY3</Equation>. O modo mais comum de introduzir <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GLDYlUSNlbUYnRi9GMi1GNjYtUSJ+RidGMkY5RjtGPUY/RkFGQ0ZFRkdGSi1GLDYlUSR1bWFGJ0YvRjJGMg==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GLDYlUSNlbUYnRi9GMi1GNjYtUSJ+RidGMkY5RjtGPUY/RkFGQ0ZFRkdGSi1GLDYlUSR1bWFGJ0YvRjJGMg==</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUkjbWlHRiQ2JVEvZXhwcmVzcyYjMjI3O29GJy8lJ2l0YWxpY0dGNEYvRistRkc2JVEnJiMyMzM7RidGSkYvRistRkc2JVEqbG9jYWxpemFyRidGSkYvRi8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUkjbWlHRiQ2JVEvZXhwcmVzcyYjMjI3O29GJy8lJ2l0YWxpY0dGNEYvRistRkc2JVEnJiMyMzM7RidGSkYvRistRkc2JVEqbG9jYWxpemFyRidGSkYvRi8=</Equation> <Hyperlink linktarget="Wks:../Dicion\303\241rio/F/factor -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">fatores</Font></Hyperlink> de <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font encoding="UTF-8"> . Neste exemplo, \303\251 muito f\303\241cil ver que:</Font></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><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjcTNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSI7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGPUY5">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEjcTNGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSI7RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUrZXhlY3V0YWJsZUdGPUY5</Equation>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkobWZlbmNlZEdGJDYoLUYjNiYtRiM2Ji1JI21uR0YkNiRRIjNGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUTEmSW52aXNpYmxlVGltZXM7RidGNi8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPy8lKXN0cmV0Y2h5R0Y/LyUqc3ltbWV0cmljR0Y/LyUobGFyZ2VvcEdGPy8lLm1vdmFibGVsaW1pdHNHRj8vJSdhY2NlbnRHRj8vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZOLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnL0Y3USdpdGFsaWNGJ0Y2LUY6Ni1RKCZtaW51cztGJ0Y2Rj1GQEZCRkRGRkZIRkovRk1RLDAuMjIyMjIyMmVtRicvRlBGaG4tRjM2JFEiOUYnRjZGNkY2L0krbXNlbWFudGljc0dGJFEkYWJzRicvJSVvcGVuR1EpJnZlcmJhcjtGJy8lJmNsb3NlR0Zib0Zdby1GOjYtUSI8RidGNkY9RkBGQkZERkZGSEZKL0ZNUSwwLjI3Nzc3NzhlbUYnL0ZQRmlvLUYjNiZGMkY5LUZSNiVRJyYjOTQ4O0YnL0ZWRj9GNkY2LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y/RjY=">Mi1JJGFic0clKnByb3RlY3RlZEc2IywmKiYiIiQiIiJJInhHNiJGKkYqIiIqISIiLCQqJkYpRipJJmRlbHRhR0YsRipGKg==</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">Se for poss\303\255vel para escolher </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> tal que:</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><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUStjb25zdHJhaW50RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjhRJ25vcm1hbEYnRitGOkY9">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUStjb25zdHJhaW50RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjhRJ25vcm1hbEYnRitGOkY9</Equation>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUYjNiYtSSNtbkdGJDYkUSIzRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnRjEvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1JI21pR0YkNiVRJyYjOTQ4O0YnLyUnaXRhbGljR0Y6RjFGMS1GNTYtUSI8RidGMUY4RjtGPUY/RkFGQ0ZFL0ZIUSwwLjI3Nzc3NzhlbUYnL0ZLRlYtRk02JVEnJiM5NDk7RidGUEYxLyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y6RjE=">MiwkKiYiIiQiIiJJJmRlbHRhRzYiRiZGJkkoZXBzaWxvbkdGKA==</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">ent\303\243o a prova estar\303\241 completa. Neste caso, a restri\303\247\303\243o acima \303\251 satisfeita sempre que:</Font></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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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEoaXNvbGF0ZUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMCZBcHBseUZ1bmN0aW9uO0YnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZTLUkobWZlbmNlZEdGJDYkLUYjNictRiw2JVErY29uc3RyYWludEYnRjZGOS1GPTYtUSIsRidGQEZCL0ZGRjhGR0ZJRktGTUZPRlEvRlVRLDAuMzMzMzMzM2VtRictRiw2JVEnJiM5NDg7RicvRjdGREZALyUrZXhlY3V0YWJsZUdGREZARkBGYm9GQEYrRmJvRkBGK0Zib0ZA</Equation>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIjxGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGSS1GIzYoLUkmbWZyYWNHRiQ2KC1JI21uR0YkNiRRIjFGJ0YyLUZSNiRRIjNGJ0YyLyUubGluZXRoaWNrbmVzc0dGVC8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0Zmbi8lKWJldmVsbGVkR0YxLUY2Ni1RMSZJbnZpc2libGVUaW1lcztGJ0YyRjlGO0Y9Rj9GQUZDRkUvRkhRJjAuMGVtRicvRktGX28tRiM2JC1GLDYlUScmIzk0OTtGJ0YvRjJGMi8lK2ZvcmVncm91bmRHUShbMCwwLDBdRicvJSlyZWFkb25seUdGMUYyRmZvRmlvRjI=">MkkmZGVsdGFHNiIsJComIyIiIiIiJEYoSShlcHNpbG9uR0YkRihGKA==</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"></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">Este processo mostra que, dado qualquer  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> &gt; 0,</Text-field>
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display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYvLUkjbWlHRiQ2JVEiT0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkktRiw2JVElbW9kb0YnRi9GMkY1LUYsNiVRJW1haXNGJ0YvRjJGNS1GLDYlUSZjb211bUYnRi9GMkY1LUYsNiVRI2RlRidGL0YyRjUtRiw2JVEraW50cm9kdXppckYnRi9GMkY1RjI=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYvLUkjbWlHRiQ2JVEiT0YnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSJ+RidGMi8lJmZlbmNlR0YxLyUqc2VwYXJhdG9yR0YxLyUpc3RyZXRjaHlHRjEvJSpzeW1tZXRyaWNHRjEvJShsYXJnZW9wR0YxLyUubW92YWJsZWxpbWl0c0dGMS8lJ2FjY2VudEdGMS8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkktRiw2JVElbW9kb0YnRi9GMkY1LUYsNiVRJW1haXNGJ0YvRjJGNS1GLDYlUSZjb211bUYnRi9GMkY1LUYsNiVRI2RlRidGL0YyRjUtRiw2JVEraW50cm9kdXppckYnRi9GMkY1RjI=</Equation><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> <Equation executable="false" style="2D Math" input-equation="" 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display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUkjbWlHRiQ2JVEvZXhwcmVzcyYjMjI3O29GJy8lJ2l0YWxpY0dGNEYvRistRkc2JVEnJiMyMzM7RidGSkYvRistRkc2JVEqbG9jYWxpemFyRidGSkYvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj9GQUZELUZHNiVRKGZhdG9yZXNGJ0ZKRi9GUkYv</Equation>de <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font encoding="UTF-8">. Isto precisa de um pouco mais de esfor\303\247o do que no exemplo anterior. Primeiro, note que a condi\303\247\303\243o 0 &lt; </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>  &lt; <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  implica que <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVElJm5lO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiM0YnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVElJm5lO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiM0YnRj5GPkYrRj4=</Equation><Font encoding="UTF-8">  e assim n\303\243o existe problema com 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">. Com este problema em potencial exclu\303\255do, encontre um </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/D/denominator.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">denominador</Font></Hyperlink> comum e simplifique, obtendo:</Text-field>
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<Section collapsed="false" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field bookmark="Example 3" style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Exemplo 2.8: Fun\303\247\303\243o Pot\303\252ncia</Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/E/exponent.mw" hyperlink="true" encoding="UTF-8"></Hyperlink></Text-field></Title>
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O modo mais comum de introduzir <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUkjbWlHRiQ2JVEjZW1GJy8lJ2l0YWxpY0dGNEYvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj9GQUZELUZHNiVRJHVtYUYnRkpGL0Yv">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUkjbWlHRiQ2JVEjZW1GJy8lJ2l0YWxpY0dGNEYvLUYsNi1RIn5GJ0YvRjJGNUY3RjlGO0Y9Rj9GQUZELUZHNiVRJHVtYUYnRkpGL0Yv</Equation><Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYsLUkjbWlHRiQ2I1EhRictRiM2JS1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GLDYlUTFleHByZXNzJmF0aWxkZTtvRicvJSdpdGFsaWNHRjpGNUY1RjEtRiw2JVEpJmVhY3V0ZTtGJ0ZPRjVGMS1GLDYlUSpsb2NhbGl6YXJGJ0ZPRjVGMS1GLDYlUShmYXRvcmVzRidGT0Y1RjFGNQ==</Equation>de<Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font encoding="UTF-8">. Isto precisa um pouco mais de esfor\303\247o que no exemplos anteriores. Mas primeiro, tecnicamente \303\251 necess\303\241rio endere\303\247ar algum termo</Font>. A quantidade <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font encoding="UTF-8">  \303\251 definida (como um n\303\272mero real) somente quando</Font><Font opaque="true" background="[255,255,255]"> </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjhRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjhRJ25vcm1hbEYn</Equation><Font opaque="true" background="[255,255,255]" encoding="UTF-8"> \342\211\245 0. Neste caso, a condi\303\247\303\243o</Font><Font opaque="true" background="[255,255,255]"> 0 &lt; </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font opaque="true" background="[255,255,255]">  &lt; </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGOA==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdRJXRydWVGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGOA==</Equation><Font opaque="true" background="[255,255,255]">  precisa ser acrescentada com </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjhRJ25vcm1hbEYn">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2J1EieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGMS8lLG1hdGh2YXJpYW50R1EnaXRhbGljRicvRjhRJ25vcm1hbEYn</Equation><Font opaque="true" background="[255,255,255]" encoding="UTF-8"> \342\211\245 0 para assegurar que a express\303\243o </Font><Equation executable="false" style="Text" input-equation="" display="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">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</Equation><Font opaque="true" background="[255,255,255]">=</Font><Equation executable="false" style="Text" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSShtZmVuY2VkR0YkNiktRiM2LC1JJm1zcXJ0R0YkNiQtRiM2JS1GLDYmUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJStiYWNrZ3JvdW5kR1EuWzI1NSwyNTUsMjU1XUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJ0Y/L0ZDUSdub3JtYWxGJ0Y/LUkjbW9HRiQ2L1EqJnVtaW51czA7RidGPy8lJ29wYXF1ZUdGPkZFLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZPLyUpc3RyZXRjaHlHRk8vJSpzeW1tZXRyaWNHRk8vJShsYXJnZW9wR0ZPLyUubW92YWJsZWxpbWl0c0dGTy8lJ2FjY2VudEdGTy8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRmhuLUYjNiZGKy1GNTYkLUYjNiUtSSNtbkdGJDYlUSIzRidGP0ZFRj9GRUY/Rj9GRUYrRjwvJStmb3JlZ3JvdW5kR1ErWzAsMTYwLDgwXUYnRj8vJSxwbGFjZWhvbGRlckdGPi8lNnNlbGVjdGlvbi1wbGFjZWhvbGRlckdGPkZCRj9GRS9JK21zZW1hbnRpY3NHRiRRJGFic0YnLyUlb3BlbkdRKSZ2ZXJiYXI7RicvJSZjbG9zZUdGYXBGXHBGP0ZF</Equation><Font opaque="true" background="[255,255,255]"> <Font encoding="UTF-8">fa\303\247a sentido.</Font></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">Observe que <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiM0YnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiM0YnRj5GPkYrRj4=</Equation>  = <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>  = <Equation executable="false" style="2D Math" input-equation="" 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e assim  <Equation executable="false" style="2D Math" input-equation="" 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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">Nosso foco est\303\241 agora na dire\303\247\303\243o do denominador no lado direito da express\303\243o anterior, em:</Font></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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">LUkkYWJzRyUqcHJvdGVjdGVkRzYjLCYqJClJInhHNiIjIiIiIiIjRixGLCokKSIiJEYrRixGLA==</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">Primeiro, <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrLUkmbXNxcnRHRiQ2Iy1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiK0YnL0Y7USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZULUYyNiMtSSNtbkdGJDYkUSIzRidGQUYrRkFGK0ZB">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KEYrLUkmbXNxcnRHRiQ2Iy1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiK0YnL0Y7USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRS8lKXN0cmV0Y2h5R0ZFLyUqc3ltbWV0cmljR0ZFLyUobGFyZ2VvcEdGRS8lLm1vdmFibGVsaW1pdHNHRkUvJSdhY2NlbnRHRkUvJSdsc3BhY2VHUSwwLjIyMjIyMjJlbUYnLyUncnNwYWNlR0ZULUYyNiMtSSNtbkdGJDYkUSIzRidGQUYrRkFGK0ZB</Equation><Font encoding="UTF-8">  \303\251 sempre positivo, assim os valores absolutos n\303\243o s\303\243o necess\303\241rios.</Font> O denominador pode ser escrito como:</Text-field>
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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="true" style="2D Input" input-equation="" display="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">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</Equation>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ly1JJGFic0clKnByb3RlY3RlZEc2IywmKiQpSSJ4RzYiIyIiIiIiI0YtRi0qJCkiIiRGLEYtRi1GJw==</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">E mais, porque <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtc3FydEdGJDYjLUYsNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGKy9GOVEnbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtc3FydEdGJDYjLUYsNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGKy9GOVEnbm9ybWFsRic=</Equation>  &gt; 0, vemos que:</Text-field>
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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="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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNkM0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNkM0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==</Equation>
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<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">MiokKSIiJCMiIiIiIiNGJywmKiQpSSJ4RzYiRiZGJ0YnRiNGJw==</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">Tomando os <Hyperlink linktarget="Wks:../Dicion\303\241rio/R/reciprocal.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">rec\303\255procos</Font></Hyperlink> (e notando que Maple converteu a desigualdade para uma &lt;), vemos que:</Text-field>
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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="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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSZib3VuZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSZib3VuZEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==</Equation>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">MiokLCYqJClJInhHNiIjIiIiIiIjRipGKiokKSIiJEYpRipGKiEiIiwkKiYjRipGLkYqRi1GKkYq</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">Estamos prontos agora para retornar ao <Hyperlink linktarget="Wks:../Dicion\303\241rio/Q/Q_Traduzido/quotient.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">quociente</Font></Hyperlink> total, recorde que:</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"></Text-field>
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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="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxMUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxMUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==</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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">Ly1JJGFic0clKnByb3RlY3RlZEc2IywmKiQpSSJ4RzYiIyIiIiIiI0YtRi0qJCkiIiRGLEYtISIiKiYtRiQ2IywmRipGLUYxRjJGLS1GJDYjLCZGKEYtRi9GLUYy</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 <Hyperlink linktarget="Wks:../Dicion\303\241rio/N/numerator -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">numerador</Font></Hyperlink> no lado direito pode ser <Hyperlink linktarget="Wks:../Dicion\303\241rio/U/upperbound.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">limitado por cima</Font></Hyperlink><Font encoding="UTF-8"> por \316\264, o termo remanescente \303\251 limitado pelo argumento anterior. O resultado \303\251</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"></Text-field>
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<Group labelreference="L466" drawlabel="true">
<Input>
<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="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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNxMkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==</Equation>
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<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">MiomLUkkYWJzRyUqcHJvdGVjdGVkRzYjLCZJInhHNiIiIiIiIiQhIiJGKy1GJTYjLCYqJClGKSNGKyIiI0YrRisqJClGLEYzRitGK0YtLCQqKCNGK0YsRitJJmRlbHRhR0YqRitGNkYrRis=</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">Neste ponto,  mostramos que:</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"></Text-field>
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" 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>
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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">Se for poss\303\255vel mostrar que </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> tal que:</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">ent\303\243o a prova ser\303\241 completa.  Neste caso, a restri\303\247\303\243o acima \303\251 satisfeita sempre que:</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"></Text-field>
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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="true" style="2D Input" input-equation="" display="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">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</Equation></Text-field>
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<Text-field bookmark="Example 4" style="Heading 2" layout="Heading 2" spaceabove="7">Exemplo 2.9: <Hyperlink linktarget="Wks:../Dicion\303\241rio/Q/Q_Traduzido/quadratic.mw" hyperlink="true" encoding="UTF-8"><Font style="Heading 2" encoding="UTF-8">A Fun\303\247\303\243o Quadr\303\241tica</Font></Hyperlink></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">Resta agora lidar com o termo <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21vR0YkNi1RKSZ2ZXJiYXI7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y6LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjovJShsYXJnZW9wR0Y6LyUubW92YWJsZWxpbWl0c0dGOi8lJ2FjY2VudEdGOi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkotRiw2JVEieEYnLyUnaXRhbGljR0Y/L0Y2USdpdGFsaWNGJ0YxRjVGK0Y1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21vR0YkNi1RKSZ2ZXJiYXI7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y6LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjovJShsYXJnZW9wR0Y6LyUubW92YWJsZWxpbWl0c0dGOi8lJ2FjY2VudEdGOi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkotRiw2JVEieEYnLyUnaXRhbGljR0Y/L0Y2USdpdGFsaWNGJ0YxRjVGK0Y1</Equation><Font encoding="UTF-8">  no lado direito desta equa\303\247\303\243o. O enfoque geral \303\251 similar ao que foi tomado no Exemplo 3, mas com um pouco mais de detalhes envolvidos. A chave \303\251 observar que a condi\303\247\303\243o 0 &lt; </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21vR0YkNi1RKSZ2ZXJiYXI7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y6LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjovJShsYXJnZW9wR0Y6LyUubW92YWJsZWxpbWl0c0dGOi8lJ2FjY2VudEdGOi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkotRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHRj8vRjZRJ2l0YWxpY0YnLUYyNi1RKCZtaW51cztGJ0Y1RjhGOy9GPkY6RkBGQkZERkZGSEZLLUkjbW5HRiQ2JFEiM0YnRjVGNUYxRjVGK0Y1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21vR0YkNi1RKSZ2ZXJiYXI7RicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y6LyUpc3RyZXRjaHlHUSV0cnVlRicvJSpzeW1tZXRyaWNHRjovJShsYXJnZW9wR0Y6LyUubW92YWJsZWxpbWl0c0dGOi8lJ2FjY2VudEdGOi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkotRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHRj8vRjZRJ2l0YWxpY0YnLUYyNi1RKCZtaW51cztGJ0Y1RjhGOy9GPkY6RkBGQkZERkZGSEZLLUkjbW5HRiQ2JFEiM0YnRjVGNUYxRjVGK0Y1</Equation>  &lt; <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  pode ser equivalentemente escrita como <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JS1JI21vR0YkNi1RKCZtaW51cztGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GLDYlUScmIzk0ODtGJy8lJ2l0YWxpY0dGOkY1RjVGK0Y1">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JS1JI21vR0YkNi1RKCZtaW51cztGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS1GLDYlUScmIzk0ODtGJy8lJ2l0YWxpY0dGOkY1RjVGK0Y1</Equation>  &lt; <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiM0YnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiM0YnRj5GPkYrRj4=</Equation>  &lt; <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation>  (e <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVElJm5lO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiM0YnRj5GPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVElJm5lO0YnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiM0YnRj5GPkYrRj4=</Equation> ) ou <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEiM0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKCZtaW51cztGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkctSSNtaUdGJDYlUScmIzk0ODtGJy8lJ2l0YWxpY0dGOEYvRi8=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW5HRiQ2JFEiM0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RKCZtaW51cztGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRLDAuMjIyMjIyMmVtRicvJSdyc3BhY2VHRkctSSNtaUdGJDYlUScmIzk0ODtGJy8lJ2l0YWxpY0dGOEYvRi8=</Equation>  &lt; <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation>  &lt; <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIitGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGSS1JI21uR0YkNiRRIzMuRidGMkYy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIitGJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGSS1JI21uR0YkNiRRIzMuRidGMkYy</Equation></Text-field>
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<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]" encoding="UTF-8">Fica aparente que esta \303\251 uma </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/Q/Q_Traduzido/quadratic.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">quadr\303\241tica</Font></Hyperlink><Font opaque="false" background="[0,0,0]"> em </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font opaque="false" background="[0,0,0]"> (com </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font opaque="false" background="[0,0,0]" encoding="UTF-8">  como um par\303\242metro). As duas raizes s\303\243o:</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">Estas ra\303\255zes s\303\243o reais porque </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font encoding="UTF-8"> &gt; 0. E mais: uma \303\251 positiva e outra </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/N/negative -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">negativa</Font></Hyperlink><Font encoding="UTF-8">. N\303\243o \303\251 dif\303\255cil determinar que a </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/C/constraint.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">restri\303\247\303\243o</Font></Hyperlink> para qualquer <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> com <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYxLUkjbW5HRiQ2JFEiMEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0YvLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y4LyUpc3RyZXRjaHlHRjgvJSpzeW1tZXRyaWNHRjgvJShsYXJnZW9wR0Y4LyUubW92YWJsZWxpbWl0c0dGOC8lJ2FjY2VudEdGOC8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRkctRjM2LVEiPEYnRi9GNkY5RjtGPUY/RkFGQ0ZFRkhGMi1JI21pR0YkNiVRKCZkZWx0YTtGJy8lJ2l0YWxpY0dGOEYvRjJGSi1GMzYtUSgmbWludXM7RidGL0Y2RjlGO0Y9Rj9GQUZDRkVGSC1JJm1mcmFjR0YkNigtRiw2JFEiM0YnRi8tRiw2JFEiMkYnRi8vJS5saW5ldGhpY2tuZXNzR1EiMUYnLyUrZGVub21hbGlnbkdRJ2NlbnRlckYnLyUpbnVtYWxpZ25HRl5vLyUpYmV2ZWxsZWRHRjhGMi1GMzYtUScmcGx1cztGJ0YvRjZGOUY7Rj1GP0ZBRkNGRUZIRjItRlc2KC1GIzYmLUZONiNRIUYnLUkmbXNxcnRHRiQ2Iy1GIzYoLUYsNiRRIjlGJ0YvRmNvLUYsNiRRIjRGJ0YvRjItRk42JVEtJnZhcmVwc2lsb247RidGUUYvRi9Gam9GL0ZmbkZpbkZcb0Zfb0Zhb0Zqb0Yv">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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">Este processo mostra que , dado qualquer  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> &gt;0,</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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<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="366"><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="367"><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="368"><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(integer(range=-9..9)):
m1 := Generate(integer(range=-9..9)):
while (m1 = -1 or m1 = 0 or m1 = 1) do 
   m1 := Generate(integer(range=-9..9)):
end do:
b1 := Generate(integer(range=-9..9)):
ff1 := m1*x+b1:
fn1 := Limit(ff1,x=a1) = limit(ff1,x=a1);
lf1 := rhs(fn1):
ans1 := epsilon/abs(m1);
c121 := 0&lt;abs(x-a1):
c122 := abs(ff1-lf1)&lt;epsilon:</Text-field>
</Input>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQsJkkieEdGKCEiJCIiJiIiIi9GKyEiKiIjSw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="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">LCRJKGVwc2lsb25HNiIjIiIiIiIk</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L303" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">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 2.1</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="369"><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">Em uma prova <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> para

<Font bold="true" style="Text" foreground="[0,128,128]">`$fn1`</Font>

<Font encoding="UTF-8">qual \303\251 a f\303\263rmula geral para </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRicvJStleGVjdXRhYmxlR1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRicvJStleGVjdXRhYmxlR1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJ0Yy</Equation><Font encoding="UTF-8"> que satisfaz a defini\303\247\303\243o de limite?  
</Font>Entre sua resposta na forma <Font italic="true">delta = constante * epsilon</Font>

(<Font encoding="UTF-8" italic="true">Observa\303\247\303\243o: Voc\303\252 deve colocar sua resposta antes de clicar em &quot;Grade&quot;.</Font>)</Text-field>
<Text-field style="Text" layout="Normal"></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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">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="370"><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="371"><Font style="Maple Input Placeholder"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjE=">JSFH</Equation></Taskdata-inline>`&amp;#x3B4;`= `&amp;#x3B5;`/abs(m1);<Taskdata-inline tag_id="372"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjE=">JSFH</Equation></Taskdata-inline></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="373"><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">aa1 := simplify(<Font style="Maple Input" foreground="[0,128,128]">`$ans1`</Font>/epsilon) assuming epsilon &lt;&gt; 0;
rr1 := simplify(rhs(`$RESPONSE`)/epsilon) assuming epsilon &lt;&gt; 0;
evalb(evalf(aa1-rr1=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="374"><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="375"><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="L12" 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]">Remember the conditions on </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JC1GLDYlUSZkZWx0YUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGN0YrRjc=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JC1GLDYlUSZkZWx0YUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGN0YrRjc=</Equation></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]">Condition: </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JC1GLDYlUSZkZWx0YUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGNy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0Y3LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHRjYvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTkY3">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JC1GLDYlUSZkZWx0YUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGNy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0Y3LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHRjYvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTkY3</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]">&gt; 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"><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]">Condition: </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]">`$c121`  </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">=&gt; </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="true" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,128,128]">`$c122`</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;Remember&amp;MediumSpace;the&amp;MediumSpace;conditions&amp;MediumSpace;on&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;mrow&gt;&lt;mi mathbackground='#000000' mathvariant='normal'&gt;delta&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button1" caption="Dica #2" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea0`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Condition:&amp;MediumSpace;&lt;/mtext&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi mathbackground='#000000' mathvariant='normal'&gt;delta&lt;/mi&gt;&lt;/mrow&gt;&lt;mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;&gt;&amp;MediumSpace;0&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$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="Button2" caption="Dica #3" 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;Condition:&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;amp;lt;&lt;/mo&gt;&lt;mfenced open='&amp;verbar;' close='&amp;verbar;' separators=','&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;9&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mtext&gt;&amp;MediumSpace;&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;=&gt;&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mfenced open='&amp;verbar;' close='&amp;verbar;' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&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;27&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;amp;lt;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;amp;varepsilon;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="376"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$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="377"><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="378"><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 :=  `&amp;#x3B4;`= `&amp;#x3B5;`/abs(m1); ; aa1 := simplify(ans1/epsilon) assuming epsilon &lt;&gt; 0;rr1 := simplify(rhs(eval(parse(StudentResponse)))/epsilon) assuming epsilon &lt;&gt; 0; if evalb(evalf(aa1-rr1=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;mi&gt;&amp;\134#x3B4;&lt;/mi&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;amp;equals;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;&amp;\134#x3B5;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&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;mi&gt;&amp;\134#x3B4;&lt;/mi&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;amp;equals;&lt;/mo&gt;&lt;mrow&gt;&lt;mfrac&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mfrac&gt;&lt;mo lspace='0.0em' rspace='0.0em'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;mrow&gt;&lt;mi&gt;&amp;\134#x3B5;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&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" 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="L317">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="379"><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="380"><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="381"><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="L313" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

a2 := Generate(integer(range=-9..9)):
m2 := Generate(integer(range=-9..9)):
while (m2=0 or m2=1) do 
      m2 := Generate(integer(range=-9..9)):
end do:
b2 := Generate(integer(range=-9..9)):
c2 := Generate(integer(range=-5..5)):
while (c2 = 0) do
   c2 := Generate(integer(range=-5..5)):
end do:
ff2 := expand((m2*x+b2)*c2*(x-a2))/expand((c2*(x-a2)));
fn2 := Limit(ff2,x=a2)=limit(ff2,x=a2);
ans2 := abs(simplify(ff2-rhs(fn2)));<Font style="Maple Input Placeholder" placeholder="true">
</Font></Text-field>
</Input>
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<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
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</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 2.2</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="382"><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="L316">
<Input>
<Text-field style="Text" layout="Normal">Pense em uma prova <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> para

<Font bold="true" style="Text" foreground="[0,128,128]">`$fn2`</Font>

Quando <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUYjNiUtRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RJSZuZTtGJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGU0ZARitGQEYrRkA=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUYjNiUtRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RJSZuZTtGJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGU0ZARitGQEYrRkA=</Equation><Font bold="true" style="Text" foreground="[0,128,128]">`$a2`</Font>, o que a quantidade <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> ser simplificada?</Text-field>
<Text-field style="Text" layout="Normal"><Font encoding="UTF-8">Para entrar com o valor absoluto de uma express\303\243o use <Font italic="true">abs(express\303\243o)</Font></Font>
</Text-field>
</Input>
</Group><EC-TextArea id="TextArea1" enabled="true" visible="true" visiblecharacterwidth="60" visiblerows="5" contents="" editable="true" wrapping="true"></EC-TextArea>
<Input>
<Text-field style="Text" layout="Normal"><EC-Label id="Label1" caption="Insira sua resposta usando a sintaxe do Maple." enabled="true" visible="true" visiblecharacterwidth="15" pixel-width="300" pixel-height="200" user-size="false" user-width="false"></EC-Label><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">JSFH</Equation></Text-field>
</Input>
</Section>
<Section collapsed="false" QuestionSection="Maple Graded Answer" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="383"><Font style="Text">To evaluate a student's response, enter the correct answer.  Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable <Font bold="true">`$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="L315">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="384"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjE=">JSFH</Equation></Taskdata-inline>ans2;</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="385"><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="L312">
<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="386"><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="387"><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="L19" 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]">Combine the two terms over a common denominator, then simplify as much as possible.</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="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">What simplification does the condition </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUYjNiUtRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RJSZuZTtGJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGU0ZARitGQEYrRkA=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUYjNiUtRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RJSZuZTtGJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGU0ZARitGQEYrRkA=</Equation><Font bold="true" style="Text" foreground="[0,128,128]">`$a2`</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> allow you to make?</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="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Do not forget the absolute value!</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;Combine&amp;MediumSpace;the&amp;MediumSpace;two&amp;MediumSpace;terms&amp;MediumSpace;over&amp;MediumSpace;a&amp;MediumSpace;common&amp;MediumSpace;denominator,&amp;MediumSpace;then&amp;MediumSpace;simplify&amp;MediumSpace;as&amp;MediumSpace;much&amp;MediumSpace;as&amp;MediumSpace;possible.&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;What&amp;MediumSpace;simplification&amp;MediumSpace;does&amp;MediumSpace;the&amp;MediumSpace;condition&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;mrow&gt;&lt;mrow&gt;&lt;mi mathbackground='#000000'&gt;x&lt;/mi&gt;&lt;mo mathbackground='#000000' lspace='0.2777778em' rspace='0.2777778em' background='#000000'&gt;&amp;ne;&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mrow&gt;&lt;mn&gt;6&lt;/mn&gt;&lt;/mrow&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mtext&gt;&amp;MediumSpace;allow&amp;MediumSpace;you&amp;MediumSpace;to&amp;MediumSpace;make?&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button6" caption="Dica #3" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea1`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Do&amp;MediumSpace;not&amp;MediumSpace;forget&amp;MediumSpace;the&amp;MediumSpace;absolute&amp;MediumSpace;value!&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$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>
</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="388"><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="L314" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="389"><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="390"><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 :=  ans2;  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;mfenced open='&amp;verbar;' close='&amp;verbar;' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&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;12&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&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;mfenced open='&amp;verbar;' close='&amp;verbar;' separators=','&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&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;12&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&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="L333">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="391"><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="392"><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="393"><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="L329" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">with(RandomTools):
randomize():

a3 := Generate(integer(range=-9..9)):
m3 := Generate(integer(range=-9..9)):
while (m3 = 0 or m3 = 1) do
   m3 := Generate(integer(range=-9..9)):
end do:
b3 := Generate(integer(range=-9..9)):
c3 := Generate(integer(range=-5..5)):
while (c3=0) do
   c3 := Generate(integer(range=-5..5)):
end do:
ff3 := expand((m3*x+b3)*c3*(x-a3))/expand((c3*(x-a3))):
fn3 := Limit(ff3,x=a3)=limit(ff3,x=a3);
lf3 := rhs(fn3):
ans3 := epsilon/abs(m3);
c321 := 0 &lt; abs(x-a3):
c322 := abs(expand((m3*x+b3)*c3*(x-a3))/expand((c3*(x-a3)))-lf3) &lt; epsilon:<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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">Ly1JJkxpbWl0RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQqJiwoKiRJInhHRigiIiMhIiRGLSIjNyEiKiIiIkYyLCZGLSIiJEYxRjIhIiIvRi1GNCEiIw==</Equation></Text-field>
</Output>
<Output>
<Text-field style="2D Output" layout="Maple Output"><Equation executable="false" style="2D Output" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVElYW5zM0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIzo9RicvRjNRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y9LyUpc3RyZXRjaHlHRj0vJSpzeW1tZXRyaWNHRj0vJShsYXJnZW9wR0Y9LyUubW92YWJsZWxpbWl0c0dGPS8lJ2FjY2VudEdGPS8lJ2xzcGFjZUdRLDAuMjc3Nzc3OGVtRicvJSdyc3BhY2VHRkwtRiw2JVEnJiM5NDk7RicvRjBGPUY5LyUrZm9yZWdyb3VuZEdRKFswLDAsMF1GJy8lKXJlYWRvbmx5R0Y9Rjk=">SShlcHNpbG9uRzYi</Equation></Text-field>
</Output>
</Group>
<Group autoexecute="true" labelreference="L334" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">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 2.3</Font></Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="394"><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="L332">
<Input>
<Text-field style="Text" layout="Normal">Em uma prova <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>

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

<Font encoding="UTF-8">qual \303\251 a f\303\263rmula geral para </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRicvJStleGVjdXRhYmxlR1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi1RIn5GJ0YyLyUmZmVuY2VHRjEvJSpzZXBhcmF0b3JHRjEvJSlzdHJldGNoeUdGMS8lKnN5bW1ldHJpY0dGMS8lKGxhcmdlb3BHRjEvJS5tb3ZhYmxlbGltaXRzR0YxLyUnYWNjZW50R0YxLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSS8lK2JhY2tncm91bmRHUS5bMjU1LDI1NSwyNTVdRicvJStleGVjdXRhYmxlR1EldHJ1ZUYnLyUwZm9udF9zdHlsZV9uYW1lR1EpMkR+SW5wdXRGJ0Yy</Equation><Font encoding="UTF-8">que satisfaz a condi\303\247\303\243o para a defini\303\247\303\243o do limite?
</Font>Entre com a sua resposta na forma <Font italic="true">delta = constante * epsilon</Font>

(<Font encoding="UTF-8" italic="true">Observa\303\247\303\243o: Voc\303\252 deve colocar sua resposta antes de clicar em &quot;Grade&quot;.</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="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">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="395"><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="L331">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Taskdata-inline tag_id="396"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjE=">JSFH</Equation></Taskdata-inline><Taskdata-inline tag_id="397"><Font style="Maple Input Placeholder"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjE=">JSFH</Equation></Taskdata-inline>`&amp;#x3B4;`= `&amp;#x3B5;`/abs(m3);<Taskdata-inline tag_id="398"><Font style="Maple Input Placeholder" placeholder="true"> </Font><Equation executable="true" style="Maple Input Placeholder" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJWJvbGRGJy8lK2ZvbnR3ZWlnaHRHRjE=">JSFH</Equation></Taskdata-inline></Text-field>
</Input>
</Group>
<Group labelreference="L335" drawlabel="true">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal"><Equation executable="true" style="2D Input" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2I1EhRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYn">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="399"><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="L328">
<Input>
<Text-field prompt="&gt; " style="Maple Input" layout="Normal">aa3 := simplify(<Font style="Maple Input" foreground="[0,128,128]">`$ans3`</Font>/epsilon) assuming epsilon &lt;&gt; 0;
rr3 := simplify(rhs(`$RESPONSE`)/epsilon) assuming epsilon &lt;&gt; 0;
evalb(evalf(aa3-rr3=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="400"><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="401"><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="L26" 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]">Remember the conditions on </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JC1GLDYlUSZkZWx0YUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGN0YrRjc=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JC1GLDYlUSZkZWx0YUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGN0YrRjc=</Equation></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]">Condition: </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JC1GLDYlUSZkZWx0YUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGNy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0Y3LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHRjYvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTkY3">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JC1GLDYlUSZkZWx0YUYnLyUnaXRhbGljR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRidGNy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJ0Y3LyUmZmVuY2VHRjYvJSpzZXBhcmF0b3JHRjYvJSlzdHJldGNoeUdGNi8lKnN5bW1ldHJpY0dGNi8lKGxhcmdlb3BHRjYvJS5tb3ZhYmxlbGltaXRzR0Y2LyUnYWNjZW50R0Y2LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTkY3</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]">&gt; 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"><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]">Condition: </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]">`$c321`  </Font><Font style="Text"> =&gt;</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> </Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="true" subscript="false" family="serif" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,128,128]">`$c322`</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;Remember&amp;MediumSpace;the&amp;MediumSpace;conditions&amp;MediumSpace;on&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;mrow&gt;&lt;mi mathbackground='#000000' mathvariant='normal'&gt;delta&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button><EC-Button id="Button9" caption="Dica #2" pixel-width="300" pixel-height="200" enabled="true" visible="true" show-border="true" user-size="false"><MapleCode action="click-event-handler">with(StringTools): with(DocumentTools): response := GetProperty(`TextArea2`, `value`); if response = `` then response := &quot;&lt;/mtext&gt;&lt;mtext&gt;&amp;lt;NO RESPONSE&amp;gt;&lt;/mtext&gt;&lt;mtext&gt;&quot;; fi; hint := SubstituteAll(&quot;&lt;math&gt;&lt;mrow&gt;&lt;mtext&gt;Condition:&amp;MediumSpace;&lt;/mtext&gt;&lt;mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mi mathbackground='#000000' mathvariant='normal'&gt;delta&lt;/mi&gt;&lt;/mrow&gt;&lt;mo mathbackground='#000000' lspace='0.0em' rspace='0.0em' background='#000000'&gt;&amp;InvisibleTimes;&lt;/mo&gt;&lt;/mrow&gt;&lt;/mstyle&gt;&lt;mtext&gt;&gt;&amp;MediumSpace;0&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$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="Dica #3" 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;Condition:&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;amp;lt;&lt;/mo&gt;&lt;mfenced open='&amp;verbar;' close='&amp;verbar;' separators=','&gt;&lt;mrow&gt;&lt;mi&gt;x&lt;/mi&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfenced&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mtext&gt;&amp;MediumSpace;&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;&amp;MediumSpace;=&gt;&lt;/mtext&gt;&lt;mtext&gt;&amp;MediumSpace;&lt;/mtext&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mfenced open='&amp;verbar;' close='&amp;verbar;' separators=','&gt;&lt;mrow&gt;&lt;mo lspace='0.2222222em' rspace='0.2222222em'&gt;&amp;minus;&lt;/mo&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;3&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;12&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;9&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&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;9&lt;/mn&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/mfrac&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;/mfenced&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;amp;lt;&lt;/mo&gt;&lt;mi mathvariant='normal'&gt;&amp;amp;varepsilon;&lt;/mi&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mtext&gt;&lt;/mtext&gt;&lt;mtext&gt;&amp;NewLine;&lt;/mtext&gt;&lt;/mrow&gt;&lt;/math&gt;&quot;, &quot;`\134$RESPONSE`&quot;, response); with(Maplets[Elements]): maplet := Maplet(Window('title' = &quot;Maple TA Hint&quot;, [[MathMLViewer('value' = hint, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button(&quot;OK&quot;, Shutdown())]])): Maplets[Display](maplet); </MapleCode></EC-Button>
</Section>
<Section collapsed="false" QuestionSection="Feedback" MultipleChoiceAnswerIndex="-1" MultipleChoiceRandomizeChoices="false" TrueFalseAnswerIndex="-1" EssayAnswerRows="5" EssayAnswerColumns="60"><Title>
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field></Title>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="402"><Font style="Text">A question can display feedback when a student provides an incorrect response.  The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to <Font bold="true">`$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="L330" drawlabel="true">
<Input>
<Text-field style="Text" layout="Normal"><Taskdata-inline tag_id="403"><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="404"><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 :=   `&amp;#x3B4;`= `&amp;#x3B5;`/abs(m3); ; aa3 := simplify(ans3/epsilon) assuming epsilon &lt;&gt; 0;rr3 := simplify(rhs(eval(parse(StudentResponse)))/epsilon) assuming epsilon &lt;&gt; 0; if evalb(evalf(aa3-rr3=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;mi&gt;&amp;\134#x3B4;&lt;/mi&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;amp;equals;&lt;/mo&gt;&lt;mi&gt;&amp;\134#x3B5;&lt;/mi&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;mi&gt;&amp;\134#x3B4;&lt;/mi&gt;&lt;mo lspace='0.2777778em' rspace='0.2777778em'&gt;&amp;amp;equals;&lt;/mo&gt;&lt;mi&gt;&amp;\134#x3B5;&lt;/mi&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" spaceabove="7">Limites Unilaterais</Text-field></Title>
<Group labelreference="L546" 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">Para limites <Hyperlink linktarget="Wks:../Dicion\303\241rio/T/two-sided.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">bilaterais</Font></Hyperlink>, valores da <Hyperlink linktarget="Wks:../Dicion\303\241rio/I/independentvariable.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">vari\303\241vel independente</Font></Hyperlink><Font encoding="UTF-8"> nos dois lados do ponto de limite podem ser considerados (supondo que estejam no dom\303\255nio da fun\303\247\303\243o). Limites unilaterais apenas <Font opaque="true" background="[255,255,255]">consideram valores da vari\303\241vel independente em um lado do ponto de limite. Estas diferen\303\247as est\303\243o resumidas na Tabela 2.1.</Font></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"></Text-field>
</Input>
</Group><Table interior="group" showinput="true" alignment="center" exterior="all" width="539.7352" labelreference="L547" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="179" separator="true"></Table-Column><Table-Column weight="278" separator="false"></Table-Column><Table-Column weight="282" separator="false"></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="Times New Roman" 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="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Tipo de Limite</Font></Text-field></Table-Cell><Table-Cell columnspan="2" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="true" subscript="false" family="Times New Roman" 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="Times New Roman" opaque="false" underline="false" background="[255,255,255]" encoding="UTF-8" readonly="false" foreground="[0,0,0]">Valores de Vari\303\241vel  Independente</Font></Text-field><Table interior="none" showinput="true" alignment="left" exterior="none" width="100%" labelreference="L545" showlabel="true" captionalignment="0" order="row" drawcaption="false" randomized="false" captionposition="1" plotalignlists="" pagebreak="row" postexecute="insert" showgroup="true"><Table-Column weight="273" separator="true"></Table-Column><Table-Column weight="273" 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="Times New Roman" 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="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Forma Compacta</Font></Text-field></Table-Cell><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" 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"><Equation executable="false" style="2D Math" 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="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]"> e </Font><Equation executable="false" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY5LUkjbWlHRiQ2NlEieEYnLyUnZmFtaWx5R1EwVGltZXN+TmV3flJvbWFuRicvJSVzaXplR1EjMTJGJy8lJWJvbGRHUSZmYWxzZUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUqdW5kZXJsaW5lR0Y3LyUqc3Vic2NyaXB0R0Y3LyUsc3VwZXJzY3JpcHRHRjcvJStmb3JlZ3JvdW5kR1EoWzAsMCwwXUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lJ29wYXF1ZUdGNy8lK2V4ZWN1dGFibGVHRjcvJSlyZWFkb25seUdGNy8lKWNvbXBvc2VkR0Y3LyUqY29udmVydGVkR0Y3LyUraW1zZWxlY3RlZEdGNy8lLHBsYWNlaG9sZGVyR0Y3LyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0Y3LyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9JK21zZW1hbnRpY3NHRiRRKnBpZWNld2lzZUYnLUkjbW9HRiQ2LVExJkludmlzaWJsZVRpbWVzO0YnL0ZYUSdub3JtYWxGJy8lJmZlbmNlR0Y3LyUqc2VwYXJhdG9yR0Y3LyUpc3RyZXRjaHlHRjcvJSpzeW1tZXRyaWNHRjcvJShsYXJnZW9wR0Y3LyUubW92YWJsZWxpbWl0c0dGNy8lJ2FjY2VudEdGNy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRl1wLUZobjY+USI+RidGL0YyRjUvRjlGN0Y7Rj1GP0ZBRkRGR0ZJRktGTUZPRlFGU0ZVRltvRl1vRl9vRmFvRmNvRmVvRmdvRmlvRltwRl5wRmduLUYsNjZRImFGJ0YvRjJGNUY4RjtGPUY/RkFGREZHRklGS0ZNRk9GUUZTRlVGV0ZaRi9GMkY1RmNwRjtGPUY/RkFGREZHRklGS0ZNRk9GUUZTRlVGW28=">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</Equation></Text-field></Table-Cell><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="Times New Roman" 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"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation></Text-field></Table-Cell></Table-Row><Table-Row align="top" separator="false"><Table-Cell columnspan="1" backgroundstyle="0" rowspan="1" fillcolor="[255,255,255]">
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" 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="Times New Roman" opaque="false" underline="false" background="[255,255,255]" readonly="false" foreground="[0,0,0]">Tabela 2.1</Font><Font superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" opaque="false" underline="false" background="[255,255,255]" encoding="UTF-8" readonly="false" foreground="[0,0,0]">   Distin\303\247\303\265es entre limites bilateral e unilateral</Font></Text-field></Table-Cell></Table-Row></Table>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" 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>
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<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Resumo </Text-field></Title>
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<Text-field superscript="false" placeholder="false" executable="false" selection-placeholder="false" italic="false" size="12" bold="false" subscript="false" family="Times New Roman" 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="Times New Roman" opaque="false" underline="false" background="[0,0,0]" encoding="UTF-8" readonly="false" foreground="[0,0,0]">Quando usamos a defini\303\247\303\243o de limite para mostrar </Font><Equation executable="false" style="2D Math" 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="Times New Roman" opaque="false" underline="false" background="[0,0,0]" encoding="UTF-8" readonly="false" foreground="[0,0,0]"> , uma imagem \303\272til poderia conter as seguintes caracter\303\255sticas:</Font></Text-field>
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<Text-field style="Bullet Item" layout="Bullet Item">o <Hyperlink linktarget="Wks:../Dicion\303\241rio/G/graph -.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">gr\303\241fico</Font></Hyperlink><Font encoding="UTF-8"> da fun\303\247\303\243o pr\303\263ximo ao ponto de limite</Font>, <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=</Equation> ,</Text-field>
<Text-field style="Bullet Item" layout="Bullet Item">uma faixa horizontal centrada em <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRIkxGJ0Y0RjdGPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRIkxGJ0Y0RjdGPkYrRj4=</Equation> com <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> ,</Text-field>
<Text-field style="Bullet Item" layout="Bullet Item">uma faixa vertical centrada em <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=</Equation> com <Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> (tecnicamente, a reta vertical  <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=</Equation><Font encoding="UTF-8">  poderia ser exclu\303\255da desta faixa). </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">Se o valor de <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font encoding="UTF-8"> \303\251 consistente com a defini\303\247\303\243o do limite, ent\303\243o cada valor de</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation> na banda vertical (exceto, possivelmente, <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUYsNiVRImFGJ0Y0RjdGPkYrRj4=</Equation><Font encoding="UTF-8"> ) produzir\303\241 um valor de fun\303\247\303\243o que est\303\241 contido na faixa horizontal. Se existir um </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/E/even.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink" encoding="UTF-8">\303\272nico</Font></Hyperlink><Font encoding="UTF-8"> valor de fun\303\247\303\243o que esteja fora da faixa horizontal, ent\303\243o o valor de</Font> <Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDg7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation><Font encoding="UTF-8"> ser\303\241 muito grande para este </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEnJiM5NDk7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Yy</Equation> ou o valor do limite (<Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiTEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiTEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=</Equation><Font encoding="UTF-8">) est\303\241 incorreto.</Font></Text-field>
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<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]" encoding="UTF-8">Provas de limites s\303\243o as mais f\303\241ceis de completar quando \303\251 poss\303\255vel escrever </Font><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation><Font opaque="false" background="[0,0,0]">  como um </Font><Hyperlink linktarget="Wks:../Dicion\303\241rio/P/product.mw" hyperlink="true" encoding="UTF-8"><Font style="Dictionary Hyperlink">produto</Font></Hyperlink><Font opaque="false" background="[0,0,0]" encoding="UTF-8"> de um pot\303\252ncia de </Font><Equation executable="false" style="2D Math" input-equation="" display="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">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUkobWZlbmNlZEdGJDYmLUYjNictSSNtaUdGJDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYsNi1RKCZtaW51cztGJ0YvRjJGNUY3RjlGO0Y9Rj8vRkJRLDAuMjIyMjIyMmVtRicvRkVGWC1GTDYlUSJhRidGT0ZSRitGL0YvLyUlb3BlbkdRInxnckYnLyUmY2xvc2VHRmluRi8=</Equation><Font opaque="false" background="[0,0,0]" encoding="UTF-8"> e uma express\303\243o limitada .</Font></Text-field>
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<Text-field style="Heading 1" layout="Heading 1" 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 desenvolve uma cole\303\247\303\243o de leis de limite que podem ser usadas em vez das provas </Font><Equation executable="false" style="2D Math" input-equation="" display="LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2I1EhRictRiM2KC1GLDYlUScmIzk0OTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnRjcvJSZmZW5jZUdGNi8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y2LyUqc3ltbWV0cmljR0Y2LyUobGFyZ2VvcEdGNi8lLm1vdmFibGVsaW1pdHNHRjYvJSdhY2NlbnRHRjYvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZOLUYsNiVRJyYjOTQ4O0YnRjRGNy8lJ2ZhbWlseUdRJkFyaWFsRicvJTBmb250X3N0eWxlX25hbWVHUSsyRH5NYXRoXzEzRidGN0YrRlQvJSVzaXplR1EjMjBGJy8lJWJvbGRHUSV0cnVlRidGVy9GOFElYm9sZEYnLyUrZm9udHdlaWdodEdGW28=">LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2I1EhRictRiM2KC1GLDYlUScmIzk0OTtGJy8lJ2l0YWxpY0dRJmZhbHNlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLUkjbW9HRiQ2LVEoJm1pbnVzO0YnRjcvJSZmZW5jZUdGNi8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y2LyUqc3ltbWV0cmljR0Y2LyUobGFyZ2VvcEdGNi8lLm1vdmFibGVsaW1pdHNHRjYvJSdhY2NlbnRHRjYvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZOLUYsNiVRJyYjOTQ4O0YnRjRGNy8lJ2ZhbWlseUdRJkFyaWFsRicvJTBmb250X3N0eWxlX25hbWVHUSsyRH5NYXRoXzEzRidGN0YrRlQvJSVzaXplR1EjMjBGJy8lJWJvbGRHUSV0cnVlRidGVy9GOFElYm9sZEYnLyUrZm9udHdlaWdodEdGW28=</Equation>.</Text-field>
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