<?xml version="1.0" encoding="UTF-8"?>
<Worksheet>
<Version major="12" minor="0"/>
<Label-Scheme value="2" prefix=""/>
<View-Properties presentation="false"></View-Properties>
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<Font name="Maple Plot" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
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<Font name="Line Printed Output" background="[255,255,255]" bold="false" executable="false" family="Monospaced" foreground="[0,0,255]" italic="false" opaque="false" readonly="true" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
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<Font name="Maple Output" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
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<Font name="2D Math" background="[255,255,255]" bold="false" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
<Font name="Maple Input" background="[255,255,255]" bold="true" executable="true" family="Monospaced" foreground="[255,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
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<Font name="2D Input" background="[255,255,255]" bold="false" executable="true" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
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<Font name="Equation Label" background="[255,255,255]" bold="true" executable="false" family="Times New Roman" foreground="[0,0,0]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="false" placeholder="false"/>
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<Font name="Dictionary Hyperlink" background="[255,255,255]" bold="false" executable="false" family="Serif" foreground="[147,0,15]" italic="false" opaque="false" readonly="false" size="12" subscript="false" superscript="false" underline="true" placeholder="false"/>
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<Layout name="Ordered List 4" alignment="left" bullet="ALPHABETIC" firstindent="0" leftmargin="108" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Ordered List 5" alignment="left" bullet="ROMAN" firstindent="0" leftmargin="144" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="-1" bulletsuffix=""/>
<Layout name="Author" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="8" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
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<Layout name="Annotation Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Maple Plot" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
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<Layout name="Title" alignment="centred" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="12" spacebelow="12" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Line Printed Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Heading 1" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="8" spacebelow="4" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Diagnostic" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="any" pagebreak-before="false" initial="0" bulletsuffix=""/>
<Layout name="Text Output" alignment="left" bullet="none" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="0" spacebelow="0" linebreak="newline" pagebreak-before="false" initial="0" bulletsuffix=""/>
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<Layout name="List Item" alignment="left" bullet="indent" firstindent="0" leftmargin="0" rightmargin="0" linespacing="0.0" spaceabove="3" spacebelow="3" linebreak="space" pagebreak-before="false" initial="0" bulletsuffix=""/>
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<Task-table>
    <Task-category name="&lt;default&gt;">
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</Task-table>
<Task>
</Task>
<Text-field style="Heading 1" layout="Normal">limite,</Text-field>
<Text-field style="Text" layout="Normal"><Font italic="true">n.</Font> <Font bold="true">1.</Font><Font encoding="UTF-8"> um valor que \303\251 aproximado por uma fun\303\247\303\243o  </Font><Font italic="true">f</Font>(<Font italic="true">x</Font><Font encoding="UTF-8">)  ou uma sequ\303\252ncia  </Font><Font italic="true">a<Font subscript="true">n</Font></Font><Font encoding="UTF-8"> como vari\303\241vel independente,  </Font><Font italic="true">x</Font> ou  <Font italic="true">n</Font><Font encoding="UTF-8">, cresce sem restri\303\247\303\243o. Se para todo pequeno  </Font><Font family="MaplePi">e</Font> <Font family="MaplePi">&gt;</Font> 0  existe um grande inteiro <Font italic="true">N</Font> tal que
    |<Font italic="true">f</Font>(<Font italic="true">x</Font>) - <Font italic="true">k</Font>| <Font family="MaplePi">&lt;</Font> <Font family="MaplePi">e</Font>,    for all <Font italic="true">x</Font> <Font family="MaplePi">&gt;</Font> <Font italic="true">N</Font>, 
<Font italic="true">k</Font><Font encoding="UTF-8"> \303\251 dito o limite de </Font><Font italic="true">f</Font>(<Font italic="true">x</Font>) enquanto <Font italic="true">x tende a infinito</Font>, escrito </Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation>. <Font bold="true">2a.</Font><Font encoding="UTF-8"> um valor que uma fun\303\247\303\243o  </Font><Font italic="true">f</Font>(<Font italic="true">x</Font><Font encoding="UTF-8">) aproxima incrivelmente pr\303\263ximo como uma vari\303\241vel independente,  </Font><Font italic="true">x</Font>, aproxima um valor afirmado, <Font italic="true">a</Font>. Se para algum <Font family="MaplePi">e</Font> <Font family="MaplePi">&gt;</Font> 0  existe um <Font family="MaplePi">d</Font> tal que 
    | <Font italic="true">f</Font>(<Font italic="true">x</Font>) - <Font italic="true">k</Font> | <Font family="MaplePi">&lt;</Font> <Font family="MaplePi">e</Font>,   para todo <Font italic="true">x</Font>  tal que  | <Font italic="true">x</Font> - <Font italic="true">a</Font> | <Font family="MaplePi">&lt;</Font> <Font family="MaplePi">d</Font>, 
<Font encoding="UTF-8">ent\303\243o</Font>  <Font italic="true">k</Font><Font encoding="UTF-8">  \303\251 o limite de</Font><Font italic="true"> f</Font>(<Font italic="true">x</Font>)<Font italic="true">  de  x tendendo a  a</Font>, escrito </Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> 
Se  <Font italic="true">f</Font>(<Font italic="true">x</Font><Font encoding="UTF-8">) \303\251 continua em  </Font><Font italic="true">a</Font>, </Text-field>
<Text-field style="Text" layout="Normal"><Equation executable="false" style="2D Math" input-equation="" display="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">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</Equation> 
<Font encoding="UTF-8">Este formalismo substitui a defini\303\247\303\243o</Font> <Hyperlink linktarget="Dictionary:Definition/non-standard" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">n\303\243o- padr\303\243o</Font></Hyperlink> de limites em termos de <Hyperlink linktarget="Dictionary:Definition/infinitesimal" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">infinitesimalmentes</Font></Hyperlink>: que <Font italic="true">f</Font>(<Font italic="true">x</Font><Font encoding="UTF-8">) \303\251 quase infinitesimalmene distante de </Font><Font italic="true">f</Font>(<Font italic="true">a</Font>)  para  <Font italic="true">x</Font>  infinitesimalmente distante a partir de <Font italic="true">a</Font>. <Font bold="true">b.</Font><Font encoding="UTF-8"> um ponto no qual a condi\303\247\303\243o precedente vale tanto para valores menores do que </Font><Font italic="true">x</Font><Font encoding="UTF-8">, no caso \303\251 um limite pela esquerda</Font> (um <Hyperlink linktarget="Dictionary:Definition/left-handlimit" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">limite da esquerda</Font></Hyperlink>), ou para valores maiores do que <Font italic="true">x</Font><Font encoding="UTF-8">, no caso \303\251 um limite pela direita</Font> (um <Hyperlink linktarget="Dictionary:Definition/right-handlimit" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">limite da direita</Font></Hyperlink><Font encoding="UTF-8">). Se uma fun\303\247\303\243o tem ambos os limites e ele s\303\243o iguais, ent\303\243o este \303\251 o milite no ponto. </Font><Font bold="true">3a.</Font> em um <Hyperlink linktarget="Dictionary:Definition/metricspace" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">espa\303\247o m\303\251trico</Font></Hyperlink>, um valor, <Font italic="true">k</Font>, tal que pata qualquer <Font family="MaplePi">e</Font>  existe um <Font family="MaplePi">d</Font> tal que
    <Font italic="true">d</Font>(<Font italic="true">f</Font>(<Font italic="true">x</Font>), <Font italic="true">k</Font>) <Font family="MaplePi">&lt;</Font> <Font family="MaplePi">e</Font>,   para todo  <Font italic="true">x</Font>  tal que  <Font italic="true">d</Font>(<Font italic="true">x, a</Font>) <Font family="MaplePi">&lt;</Font> <Font family="MaplePi">d</Font>, 
<Font encoding="UTF-8">isto \303\251, enquanto </Font> <Font italic="true">x</Font>  tende a <Font italic="true">a</Font><Font encoding="UTF-8">. Isto \303\251 an\303\241logo a preceder com m\303\251tricas substituindo valores absolutos </Font><Font bold="true">b.</Font> similarmente, em um <Hyperlink linktarget="Dictionary:Definition/topologicalspace" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">espa\303\247o topol\303\263gico</Font></Hyperlink>, um valor ,  <Font italic="true">k</Font><Font encoding="UTF-8">, tal que, para qualquer vizinhan\303\247a </Font><Font italic="true">N</Font>(<Font italic="true">k</Font>) de  <Font italic="true">k</Font><Font encoding="UTF-8">, existe uma vizinhan\303\247a </Font><Font italic="true">N</Font>(<Font italic="true">a</Font>) de  <Font italic="true">a</Font> tal que 
    <Font italic="true">f</Font>(<Font italic="true">x</Font>) <Font family="MaplePi" encoding="UTF-8">\303\216</Font> <Font italic="true">N</Font>(<Font italic="true">k</Font>), para todo  <Font italic="true">x</Font> <Font family="MaplePi" encoding="UTF-8">\303\216</Font> <Font italic="true">N</Font>(<Font italic="true">a</Font>), 
i.e., enquanto <Font italic="true">x</Font>  tende a  <Font italic="true">a</Font>. <Font bold="true">4.</Font><Font encoding="UTF-8"> um ponto tal que uma sequ\303\252ncia ou </Font><Hyperlink linktarget="Dictionary:Definition/net" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">rede</Font></Hyperlink><Font encoding="UTF-8"> em um espa\303\247o topol\303\263gico \303\251 eventualmente em todo</Font> <Hyperlink linktarget="Dictionary:Definition/neighborhood" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">neighborhood</Font></Hyperlink> do ponto limite: i.e.,  <Font italic="true">x</Font><Font subscript="true" family="MaplePi">a</Font> tende a  <Font italic="true">x</Font><Font encoding="UTF-8">  se para cada vizinhan\303\247a </Font><Font italic="true">V</Font> de  <Font italic="true">x</Font>  existe  <Font family="MaplePi">b</Font>  no <Hyperlink linktarget="Dictionary:Definition/directedset" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">conjunto direcionado </Font></Hyperlink> <Font italic="true">A</Font> tal que  <Font italic="true">x</Font><Font subscript="true" family="MaplePi">a</Font>  pertence a <Font italic="true">V</Font>  para  <Font family="MaplePi">a</Font> <Font family="MaplePi" encoding="UTF-8">\302\263</Font> <Font family="MaplePi">b</Font>. <Font bold="true">5.</Font> (<Font italic="true">Teoria das medidas</Font><Font encoding="UTF-8">) uma fun\303\247\303\243o </Font><Hyperlink linktarget="Dictionary:Definition/measurable" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">measur\303\241veis</Font></Hyperlink>,  <Font italic="true">f</Font><Font encoding="UTF-8">, tal que uma dada sequ\303\252ncia { </Font><Font italic="true">f<Font subscript="true">n</Font></Font><Font encoding="UTF-8">}, de fun\303\247\303\265es mensur\303\241veis \303\251 </Font><Hyperlink linktarget="Dictionary:Definition/convergentinmeasure" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">convergent in measure</Font></Hyperlink> para  <Font italic="true">f</Font>; i.e., para cada  <Font family="MaplePi">e</Font> <Font family="MaplePi">&gt;</Font> 0, existe um <Font italic="true">N</Font> tal que 
    <Font family="MaplePi">m</Font>({ <Font italic="true">x</Font> : | <Font italic="true">f<Font subscript="true">n</Font></Font>(<Font italic="true">x</Font>) - <Font italic="true">f</Font>(<Font italic="true">x</Font>)| <Font family="MaplePi">&gt;</Font> <Font family="MaplePi">e</Font>})  <Font family="MaplePi">&gt;</Font>  <Font family="MaplePi">e</Font> 
para todo  <Font italic="true">n</Font> <Font family="MaplePi">&gt;</Font> <Font italic="true">N</Font>. Veja <Hyperlink linktarget="Dictionary:Definition/tendto" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">tend a</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/epsilon-deltanotation" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">nota\303\247\303\243o epsilon-delta,</Font></Hyperlink> <Hyperlink linktarget="Dictionary:Definition/converge" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">convergir</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/continuous" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman" encoding="UTF-8">cont\303\255nuos</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/sum" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">soma</Font></Hyperlink><Font encoding="UTF-8">(sentido 2).  Veja tamb\303\251m </Font><Hyperlink linktarget="Dictionary:Definition/limitinferior" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">limite inferior</Font></Hyperlink>, <Hyperlink linktarget="Dictionary:Definition/limitsuperior" hyperlink="true"><Font style="Dictionary Hyperlink" family="Times New Roman">limite superior</Font></Hyperlink>.</Text-field>
</Worksheet>