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\303\255tulo 7Continuidade
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Introdu\303\247\303\243o</Font></Text-field>O conceito de Limite n\303\243o \303\251 mais estranho para n\303\263s. N\303\263s os entendemos conceitualmente, rigorosamente e graficamente. Temos uma cole\303\247\303\243o substancial de Regras de Limites e t\303\251cnicas para manipular e avaliar limites.Neste cap\303\255tulo, o limite ser\303\241 usado para definir continuidade em um ponto e em um intervalo. Estes conceitos n\303\243o s\303\243o dif\303\255ceis de aprender e ser\303\243o usados repetidamente pelo resto deste curso --- e em um curso de matem\303\241tica avan\303\247ada.
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7"><Font encoding="UTF-8">\303\215ndice de Termos</Font></Text-field>Os seguintes termos, neste cap\303\255tulo, t\303\252m conex\303\243o com o Dicion\303\241rio do Maple; para mais informa\303\247\303\265es v\303\241 em Dicion\303\241rio Matem\303\241tico.
ass\303\255ntotateorema de bolzanoc\303\255rculocont\303\255nuoc\303\272spidedenominadordescontinuidadedom\303\255nioponto finalfun\303\247\303\243ogr\303\241ficoinfinitointervalolimitem\303\255nimom\303\272ltiplonumerador\303\255mparunilateralintervalopositivoimagemrealrestoconjuntosingularidadetabelasbilateralvalorzero
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Inicializa\303\247\303\243o</Font></Text-field>LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUShyZXN0YXJ0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjhRJ25vcm1hbEYnLUkjbW9HRiQ2LVEiO0YnRj0vJSZmZW5jZUdGPC8lKnNlcGFyYXRvckdGNi8lKXN0cmV0Y2h5R0Y8LyUqc3ltbWV0cmljR0Y8LyUobGFyZ2VvcEdGPC8lLm1vdmFibGVsaW1pdHNHRjwvJSdhY2NlbnRHRjwvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR1EsMC4yNzc3Nzc4ZW1GJ0Y6Rj0=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
<Text-field style="Heading 1" layout="Heading 1">Continuidade em um Ponto</Text-field>
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Defini\303\247\303\243o - </Font><Hyperlink linktarget="Wks:../../Dicion\303\241rio/C/continuous.mw" hyperlink="true" encoding="UTF-8"><Font style="Heading 2">Continuidade em um Ponto</Font></Hyperlink></Text-field>Uma fun\303\247\303\243o f \303\251 cont\303\255nua em um ponto a se as tr\303\252s condi\303\247\303\265es seguintes forem satisfeitas: i) LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= est\303\241 no dom\303\255nio de f, ou seja, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiNRIUYnLUYjNiQtRiw2JVEiYUYnRi9GMkY5RlRGOUY5Rjk= existe; ii) 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 existe; iii) 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 Estas condi\303\247\303\265es podem ser mais f\303\241ceis de lembrar se a defini\303\247\303\243o for condensada em:O valor da fun\303\247\303\243o e o do limite em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictRiM2KC1GLDYnUSJ4RicvJSVib2xkR1EldHJ1ZUYnLyUnaXRhbGljR0Y2LyUsbWF0aHZhcmlhbnRHUSxib2xkLWl0YWxpY0YnLyUrZm9udHdlaWdodEdRJWJvbGRGJy1JI21vR0YkNi9RIj1GJ0Y0L0Y6Rj5GPC8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGRi8lKXN0cmV0Y2h5R0ZGLyUqc3ltbWV0cmljR0ZGLyUobGFyZ2VvcEdGRi8lLm1vdmFibGVsaW1pdHNHRkYvJSdhY2NlbnRHRkYvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZVLUYsNidRImFGJ0Y0RjdGOUY8RjRGQ0Y8RitGNEZDRjw= devem existir e devem ser iguais. Se alguma destas tr\303\252s condi\303\247\303\265es n\303\243o for satisfeita, a fun\303\247\303\243o \303\251 dita descont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=. (Demorou quase um s\303\251culo at\303\251 os matem\303\241ticos chegarem a esta defini\303\247\303\243o de continuidade. Antes, continuidade estava definida em termos parecidos com "voc\303\252 pode desenhar o gr\303\241fico da fun\303\247\303\243o sem tirar seu l\303\241pis do papel." Infelizmente, fun\303\247\303\265es 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, cujos infinitos saltos podem ser "desenhados" sem tirar o l\303\241pis do papel, fogem a esta regra. Ultimamente, a ess\303\252ncia de continuidade \303\251 entendida como sendo: "Pequenas mudan\303\247as em x levam somente a pequenas mudan\303\247as em y." A defini\303\247\303\243o de continuidade apresentada aqui capta esta no\303\247\303\243o de que pequenas mudan\303\247as resultam em pequenas mudan\303\247as.Um ponto a isolado, no qual a fun\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 indefinida, \303\251 chamado de singularidade da fun\303\247\303\243o. Se for poss\303\255vel definir LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiNRIUYnLUYjNiQtRiw2JVEiYUYnRi9GMkY5RlRGOUY5Rjk= de modo que a fun\303\247\303\243o modificada seja cont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=, ent\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 chamada de singularidade remov\303\255vel de f ; caso contr\303\241rio, ent\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 chamada de singularidade essencial de f.
<Text-field style="Heading 2" layout="Heading 2"><Font encoding="UTF-8">Exemplo 7.1 - Singularidade Remov\303\255vel</Font></Text-field>Considere a fun\303\247\303\243o 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. Como esta fun\303\247\303\243o n\303\243o \303\251 definida em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=, ela \303\251 descont\303\255nua em 0.Mas, como 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 , a defini\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2KC1GLDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEifkYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZRLUkobWZlbmNlZEdGJDYkLUYjNiZGKy1GIzYkLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj5GPi1GOzYtUSI9RidGPkZARkNGRUZHRklGS0ZNL0ZQUSwwLjI3Nzc3NzhlbUYnL0ZTRl1vLUZmbjYkUSIxRidGPkY+RitGPg== resulta na fun\303\247\303\243o: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 cont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4= .Figura 7.1 mostra um gr\303\241fico da fun\303\247\303\243o modificada mostrando claramente como esta defini\303\247\303\243o de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiNRIUYnLUYjNiQtSSNtbkdGJDYkUSIwRidGOUY5RlRGOUY5Rjk= concorda com o limite em 0.
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Figura 7.1 Gr\303\241fico mostrando, para a fun\303\247\303\243o modificada, a continuidade em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIRkpGTUY1LUkjbW5HRiQ2JFEiMEYnRjlGOQ==
Observe que se o c\303\255rculo vermelho fosse localizado em qualquer outro lugar ao longo do eixo vertical, a fun\303\247\303\243o seria descont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4= .
<Text-field style="Heading 2" layout="Heading 2">Exemplo 7.2 - Singularidade Essencial</Text-field>A fun\303\247\303\243o 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 \303\251 relacionada com a fun\303\247\303\243o f no Exemplo 1 pois LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYqLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1JKG1mZW5jZWRHRiQ2JC1GIzYmLUYsNiNRIUYnLUYjNiQtRiw2JVEieEYnRi9GMkY5RlRGOUY5LUY2Ni1RIj1GJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjc3Nzc3OGVtRicvRk5Gam4tRiw2JVEiZkYnRi9GMkY1Rk9GOQ== para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= > 0 e 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 para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= < 0. Como g(0) n\303\243o \303\251 definida, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4= \303\251 uma singularidade de g, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 descont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUy1JI21uR0YkNiRRIjBGJ0ZALyUrZXhlY3V0YWJsZUdGREZARitGWkZARitGWkZA. Entretanto, diferentemente do Exemplo 1, n\303\243o \303\251 poss\303\255vel definir 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 para remover a singularidade. Para demonstrar que g \303\251 descont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=, mostre que o limite em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4= n\303\243o existe. Este limite n\303\243o existe, porque os limites unilaterais pela esquerda e pela direita n\303\243o s\303\243o iguais. Veja: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\303\243o est\303\243o de acordo. Da\303\255, 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 n\303\243o existe, e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 descont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4=. N\303\243o \303\251 poss\303\255vel definir 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 de modo que a singularidade seja removida. A singularidade em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMEYnRj5GPkYrRj4= n\303\243o \303\251 remov\303\255vel. Ela \303\251 uma singularidade essencial, cuja natureza \303\251 facilmente verificada na Figura 7.2.
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Figura 7.2 Gr\303\241fico mostrando singularidade essencial de 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 em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIRkpGTUY1LUkjbW5HRiQ2JFEiMEYnRjlGOQ==
Se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= for um ponto extremo do dom\303\255nio da fun\303\247\303\243o, os limites nas condi\303\247\303\265es ii) e iii) s\303\243o recolocados com os limites unilaterais apropriados.
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Exemplo 7.3 - <Hyperlink linktarget="Wks:../../Dicion\303\241rio/C/continuous.mw" hyperlink="true" encoding="UTF-8"><Font style="Heading 2">Continuidade nos</Font></Hyperlink>Pontos Extremos de Intervalos</Text-field>Considere a fun\303\247\303\243o 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 . O dom\303\255nio desta fun\303\247\303\243o \303\251 o conjunto de todos os n\303\272meros LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= tal que: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 > 0 isto \303\251, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1JI21uR0YkNiRRIjNGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRictSSNtb0dGJDYtUSUmbGU7RidGNS8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPi8lKXN0cmV0Y2h5R0Y+LyUqc3ltbWV0cmljR0Y+LyUobGFyZ2VvcEdGPi8lLm1vdmFibGVsaW1pdHNHRj4vJSdhY2NlbnRHRj4vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZNLUYsNiVRInhGJy8lJ2l0YWxpY0dRJXRydWVGJy9GNlEnaXRhbGljRidGNUYrRjU=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUkjbW9HRiQ2LVElJmxlO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGOi8lKXN0cmV0Y2h5R0Y6LyUqc3ltbWV0cmljR0Y6LyUobGFyZ2VvcEdGOi8lLm1vdmFibGVsaW1pdHNHRjovJSdhY2NlbnRHRjovJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZJLUkjbW5HRiQ2JFEiN0YnRjVGNUYrRjU=.O dom\303\255nio de 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 \303\251 claramente visto na Figura 7.3.
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Figura 7.3 Gr\303\241fico mostrando continuidade nos limites do intervalo de um dom\303\255nio
Os limites 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 e 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 n\303\243o existem. Entretanto, como LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiM0YnRj5GPkYrRj4= \303\251 um limite do intervalo do dom\303\255nio de F, 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 e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNilGKy1JJ211bmRlckdGJDYlLUkjbW9HRiQ2LVEkbGltRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0Y/LyUpc3RyZXRjaHlHRj8vJSpzeW1tZXRyaWNHRj8vJShsYXJnZW9wR0Y/LyUubW92YWJsZWxpbWl0c0dRJXRydWVGJy8lJ2FjY2VudEdGPy8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHUSwwLjE2NjY2NjdlbUYnLUYjNictRiw2JVEieEYnLyUnaXRhbGljR0ZKL0Y7USdpdGFsaWNGJy1GNzYtUScmcmFycjtGJ0Y6Rj1GQEZCRkRGRi9GSUY/RktGTS9GUUZPLUkjbW5HRiQ2JFEiM0YnRjotRjc2LVEiK0YnRjpGPUZARkJGREZGRmluRksvRk5RLDAuMjIyMjIyMmVtRicvRlFGY29GOi8lLGFjY2VudHVuZGVyR0Y/RitGKy1GIzYnLUYsNiVRIkZGJ0ZYRlotRjc2LVEwJkFwcGx5RnVuY3Rpb247RidGOkY9RkBGQkZERkZGaW5GS0ZNRmpuLUYjNiYtRjc2LVEiKEYnRjovRj5GSkZAL0ZDRkpGREZGRmluRktGTUZqbi1GIzYkRlVGOi1GNzYtUSIpRidGOkZkcEZARmVwRkRGRkZpbkZLRk0vRlFRLDAuMTExMTExMWVtRidGOkYrRjpGK0Y6LUY3Ni1RIj1GJ0Y6Rj1GQEZCRkRGRkZpbkZLL0ZOUSwwLjI3Nzc3NzhlbUYnL0ZRRmFxLUZcbzYkUSIwRidGOkY6RitGOg== s\303\243o suficientes para concluir que F \303\251 cont\303\255nua pela direita emLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiM0YnRj5GPkYrRj4=. Analogamente, F \303\251cont\303\255nua pela esquerdaem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiN0YnRj5GPkYrRj4= porque 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 e 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 .
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7">Exemplo 7.4 - <Hyperlink linktarget="Wks:../../Dicion\303\241rio/C/continuous.mw" hyperlink="true" encoding="UTF-8"><Font style="Heading 2">Continuidade nos</Font></Hyperlink>Limites de Intervalo - II</Text-field>A fun\303\247\303\243o 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 tem dom\303\255nio (1, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJiM4NzM0O0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic=). Como este dom\303\255nio \303\251 aberto, n\303\243o h\303\241 pontos limites de intervalo para considerar. Assim, como a condi\303\247\303\243o i) n\303\243o foi satisfeita, G n\303\243o \303\251 cont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMUYnRj5GPkYrRj4=. Al\303\251m disso, porque 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 , LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiR0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= n\303\243o pode tornar-se cont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMUYnRj5GPkYrRj4= mesmo extendendo o dom\303\255nio para [ 1, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbW9HRiQ2LVEoJmluZmluO0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDRi8=). Este exemplo, e a Figura 7.4, ilustram que a fun\303\247\303\243o n\303\243o pode ser cont\303\255nua em um ponto onde a fun\303\247\303\243o tem uma ass\303\255ntota vertical.
Figura 7.4 Gr\303\241fico de 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 e sua ass\303\255ntota vertical; n\303\243o \303\251 cont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIRkpGTUY1LUkjbW5HRiQ2JFEiMUYnRjlGOQ==
A fun\303\247\303\243o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiR0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 descont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMUYnRj5GPkYrRj4= porque uma pequena mudan\303\247a em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= pr\303\263ximo de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMUYnRj5GPkYrRj4= ocasiona grandes mudan\303\247as no valor da fun\303\247\303\243o - como se v\303\252 do seu comportamento pr\303\263ximo \303\240 ass\303\255ntota vertical em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMUYnRj5GPkYrRj4=.\303\211 tentador lembrar-se somente da condi\303\247\303\243o iii). Tudo bem, desde que se lembre de que, se o limite ou o valor da fun\303\247\303\243o n\303\243o existe, \303\251 porque a fun\303\247\303\243o \303\251 descont\303\255nua nesse ponto.
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field>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 Overview of Maple T.A. Integration.
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field>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 "`$variable`" as text or 2-D Math, for example, x := `$myvariable`. Adding algorithmic variables to the question is optional.
In the following execution group, add an algorithmic variable. To include more variables, add more execution groups. If your assignment contains more than one algorithmic variable, ensure the variable names are unique.with(RandomTools):
randomize():
a1 := Generate(integer(range=-5..5)):
while (a1 = 1 or a1 = -1) do a1 := Generate(integer(range=-5..5)) end do:
b1 := Generate(integer(range=-5..5)):
while (b1 = a1) do b1 := Generate(integer(range=-5..5)) end do:
fn1 := piecewise(x=a1,c,x=b1,1,(x^2-a1^2)/((sort(x-a1,x))*(sort(x-b1,x))));
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 7.1</Font></Text-field>The question can contain text, 2-D Math, plots, images, and algorithmic variables. To insert a plot in the question, use the Plot Component.
In the following text region, enter the full contents of the question.Para qual valor de c a fun\303\247\303\243o f(x) = `$fn1` \303\251 cont\303\255nua em x = `$a1`?LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field>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 `$ANSWER`.
Enter Maple code in 1-D Math that evaluates to the correct answer. Add additional execution groups as needed.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=limit(fn1,x=a1);LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field>To evaluate a student's response, you must evalute to a Boolean value (true or false). The variable `$RESPONSE` is automatically initialized to the student's response. Using `$ANSWER` (the correct answer) and `$RESPONSE` (the student response), one example of evaluating to a Boolean value is, evalb(`$ANSWER`-`$RESPONSE`=0);
Enter Maple code to evaluate a student's response. To add additional Maple functionality, use the Answer input region.evalb(`$ANSWER`-`$RESPONSE`=0);
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field>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.
Enter your hints in the following table. You can provide up to three hints.
Replace this text with hint 1.Replace this text with hint 2.Replace this text with hint 3.
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field>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 `$RESPONSE` (the student response) and `$ANSWER` (the correct answer). Adding feedback to the question is optional.
In the following text region, enter feedback to an incorrect response.Replace this text with feedback.with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea0`, `value`); ANSWER := limit(fn1,x=a1); if evalb(ANSWER-eval(parse(StudentResponse))=0) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!
</mtext><mtext>
</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="<NO RESPONSE>"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect. </mtext><mtext>
</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext><mtext>
</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer: </mtext><math xmlns='http://www.w3.org/1998/Math/MathML'><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'><mrow><mn>3</mn></mrow></mstyle></math><mtext>
</mtext>"); feedback:=cat(feedback, SubstituteAll("<mrow><mtext>
</mtext></mrow>", "`$RESPONSE`", StudentResponse)); feedback:=SubstituteAll(feedback, "`$ANSWER`", "<math xmlns='http://www.w3.org/1998/Math/MathML'><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'><mrow><mn>3</mn></mrow></mstyle></math>"); feedback:=cat(feedback, "</mrow></math>"); fi; with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Feedback", [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): if feedback <> "" then Maplets[Display](maplet); fi;
<Text-field style="Heading 1" layout="Heading 1">Continuidade em um Intervalo</Text-field>
<Text-field style="Heading 2" layout="Heading 2" spaceabove="7"><Font encoding="UTF-8">Defini\303\247\303\243o - </Font><Hyperlink linktarget="Wks:../../Dicion\303\241rio/C/continuous.mw" hyperlink="true" encoding="UTF-8"><Font style="Heading 2">Continuidade em um</Font></Hyperlink> Intervalo</Text-field>Seja LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= um intervalo, que pode ser fechado, aberto, ou semi-aberto, e f uma fun\303\247\303\243o. Dizemos que f \303\251 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEuY29udCYjMjM3O251YUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSNub0YnRi9GMkY1LUYsNiVRKWludGVydmFsRidGL0YyRjk=o LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= quando f \303\251 cont\303\255nua em todos os pontos de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= .Relembre que o teste de continuidade nos pontos limites do intervalo \303\251 feito usando o limite unilateral apropriado, ao inv\303\251s do limite bilateral usado nos pontos interiores de I.Geometricamente, uma fun\303\247\303\243o \303\251 cont\303\255nua em um intervalo se for poss\303\255vel desenhar graficamente a fun\303\247\303\243o "em uma pe\303\247a." Podem existir cantos ou c\303\272spides no gr\303\241fico mas n\303\243o podem haver buracos, saltos, ou ass\303\255ntotas verticais. Mas, como vimos anteriormente, gr\303\241ficos podem induzir a erros.Como existe um n\303\272mero infinito de pontos em cada intervalo, na pr\303\241tica n\303\243o d\303\241 para aplicar a defini\303\247\303\243o de continuidade em cada ponto individualmente. Algumas vezes, na pr\303\241tica n\303\243o d\303\241 para fazer o gr\303\241fico de uma fun\303\247\303\243o. E mesmo quando \303\251 poss\303\255vel, vimos exemplos onde \303\251 dif\303\255cil obter um desenho preciso do gr\303\241fico de uma fun\303\247\303\243o.Assim, como determinar um intervalo onde a fun\303\247\303\243o \303\251 cont\303\255nua?Continuidade de uma fun\303\247\303\243o em um intervalo \303\251 tipicamente determinada mostrando, de forma apropriada, como a fun\303\247\303\243o \303\251 composta de fun\303\247\303\265es cont\303\255nuas conhecidas . Como continuidade \303\251 definida em termos de limites, a constru\303\247\303\243o de blocos para fun\303\247\303\265es cont\303\255nuas \303\251 essencialmente o mesmo que construir blocos para limites. Estes resultados est\303\243o resumidos na Tabela 7.1, a qual se assemelha \303\240 Tabela 3.1, a tabela de Regras de Limites. Na Tabela 7.1, assume-se que LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 uma constante, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 um inteiro positivo, f \303\251 uma fun\303\247\303\243o cont\303\255nua no intervalo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMUYnL0Y5USdub3JtYWxGJ0ZBLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGK0ZB, e g \303\251 uma fun\303\247\303\243o cont\303\255nua no intervalo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYkLUkjbW5HRiQ2JFEiMkYnL0Y5USdub3JtYWxGJ0ZBLyUvc3Vic2NyaXB0c2hpZnRHUSIwRidGK0ZB .
NomeF\303\263rmulaIntervalo de ContinuidadeConstante 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 os n\302\272s. reais : 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todos os n\302\272s. reais: 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todos os n\302\272s. reais 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 e 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ou 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 os n\302\272s. reais: 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 e 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 ou 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 os n\302\272s. reais exceto m\303\272ltiplos \303\255mparers de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiVGKy1GLDYlUSUmcGk7RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnL0Y7USdub3JtYWxGJy1JI21uR0YkNiRRIjJGJ0Y9LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZILyUpYmV2ZWxsZWRHUSZmYWxzZUYnRitGPQ==Cotangente e 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JlEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrYmFja2dyb3VuZEdRLlsyNTUsMjU1LDI1NV1GJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictRiM2JC1JI21uR0YkNiVRIjFGJ0Y4L0Y8USdub3JtYWxGJ0ZELyUvc3Vic2NyaXB0c2hpZnRHUSIwRictSSNtb0dGJDYtUSYmY2FwO0YnRkQvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRk8vJSlzdHJldGNoeUdGTy8lKnN5bW1ldHJpY0dGTy8lKGxhcmdlb3BHRk8vJS5tb3ZhYmxlbGltaXRzR0ZPLyUnYWNjZW50R0ZPLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGaG4tRiM2Ki1GSjYtUSJ8ZnJGJ0ZEL0ZORjdGUC9GU0Y3RlRGVkZYRlpGZm5GaW4tRiM2KS1GLDYmUSJ4RidGNUY4RjstRko2LVExJkludmlzaWJsZVRpbWVzO0YnRkRGTUZQRlJGVEZWRlhGWkZmbkZpbi1GSjYuUSI6RidGOEZERk1GUEZSRlRGVkZYRlpGZm5GaW5GZ28tRiM2JC1GLDYmUSZ+Zih4KUYnRjVGOEY7RkRGK0ZERmdvLUZKNi5RJiZnZXE7RidGOEZERk1GUEZSRlRGVkZYRlovRmduUSwwLjI3Nzc3NzhlbUYnL0ZqbkZmcEZnby1GQTYlRkhGOEZELUZKNi1RInxockYnRkRGYG9GUEZhb0ZURlZGWEZaRmZuRmluRkRGK0ZE se LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 parComposi\303\247\303\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{ LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI6RidGOUY7Rj5GQEZCRkRGRkZIRkpGTUY1LUYsNiVRImdGJ0YvRjJGOQ== cont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= e LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= cont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJnRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+}Tabela 7.1 Continuidade em um intervalo: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= cont\303\255nua em 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 cont\303\255nua em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSVtc3ViR0YkNiUtRiw2JVEiSUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21uR0YkNiRRIjJGJy9GOVEnbm9ybWFsRicvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJ0YrRj8=, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiY0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 uma constante, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEibkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 um inteiro positivo
<Text-field style="Heading 2" layout="Heading 2">Exemplo 7.5</Text-field>Considere a fun\303\247\303\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Criar o gr\303\241fico de um fun\303\247\303\243o mostrando todas as ass\303\255ntotasajuda a saber onde exatamente essa fun\303\247\303\243o \303\251 definida e onde ela \303\251 cont\303\255nua. Consideramos a fun\303\247\303\243o como a composi\303\247\303\243o 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 onde: LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLUYjNictSSNtaUdGJDYlUSJmRicvJSdpdGFsaWNHUSV0cnVlRicvRjBRJ2l0YWxpY0YnLUYsNi1RMCZBcHBseUZ1bmN0aW9uO0YnRi9GMkY1RjdGOUY7Rj1GP0ZBRkQtRiM2JC1JKG1mZW5jZWRHRiQ2JC1GIzYmLUZJNiNRIUYnLUYjNiQtRkk2JVEieEYnRkxGT0YvRmVuRi9GL0YvRmVuRi8tRiw2LVEiPUYnRi9GMkY1RjdGOUY7Rj1GPy9GQlEsMC4yNzc3Nzc4ZW1GJy9GRUZhby1GIzYnLUZJNiVRJHRhbkYnL0ZNRjRGL0ZRRlRGZW5GL0ZlbkYve 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Para obter um gr\303\241fico de 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, primeiro identificamos o dom\303\255nio da fun\303\247\303\243o g. Como o denominador \303\251 sempre positivo, n\303\243o h\303\241 problemas com a divis\303\243o por zero. O numerador \303\251 definido e \303\251 cont\303\255nuo, para todo LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= > 0. A figura 7.5, a qual cont\303\251m um gr\303\241fico de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIixGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5 ajuda a identificar o dom\303\255nio da fun\303\247\303\243o.
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Figura 7.5 Gr\303\241fico de 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 para LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RMSZJbnZpc2libGVUaW1lcztGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSYmZ2VxO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yNzc3Nzc4ZW1GJy9GTkZTRjUtSSNtbkdGJDYkUSIwRidGOUY5
Para determinar se F tem algumas singularidades, e onde, \303\251 necess\303\241rio saber se aimagem de g cont\303\251m alguns m\303\272ltiplos\303\255mpares de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEnJiM5NjA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y6LUYjNiQtSSNtbkdGJDYkUSIyRidGOkY6LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZILyUpYmV2ZWxsZWRHRjlGK0Y6 . Para achar o dom\303\255nio de g, observe que: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 valor m\303\255nimode g ocorre em: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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEieEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIj1GJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGUy1GLDYlUSNxM0YnRjZGOS8lK2V4ZWN1dGFibGVHRkRGQEYrRllGQEYrRllGQA==com valor m\303\255nimo: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Ent\303\243o, o dom\303\255nio de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEiZ0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= \303\251 o intervalo fechado [ 3.448357, 7 ].Note que o gr\303\241fico de g tem uma ass\303\255ntota horizontal de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiNEYnRj5GPkYrRj4=. Isto significa que 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 \303\251 uma ass\303\255ntota horizontal para o gr\303\241fico de F, como se v\303\252 via: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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNIQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==Os \303\272nicos m\303\272ltiplos \303\255mpares de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSSZtZnJhY0dGJDYoLUYjNiQtRiw2JVEnJiM5NjA7RicvJSdpdGFsaWNHUSZmYWxzZUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJ0Y6LUYjNiQtSSNtbkdGJDYkUSIyRidGOkY6LyUubGluZXRoaWNrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGJy8lKW51bWFsaWduR0ZILyUpYmV2ZWxsZWRHRjlGK0Y6 no dom\303\255nio de g s\303\243o 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 e g alcan\303\247a este valor somente uma vez, pr\303\263ximo a: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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2JS1GLDYlUSNWQUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y4USdub3JtYWxGJ0YrRjpGPQ==Esta \303\251 uma ass\303\255ntota vertical para F.Concluindo, F \303\251 cont\303\255nua em ( 0, 0.640073 )LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2JkYrLUkjbW9HRiQ2LVEmJmN1cDtGJy8lLG1hdGh2YXJpYW50R1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGSUYrRjVGK0Y1 ( 0.640073, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJiM4NzM0O0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= ) = ( 0, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYkLUkjbWlHRiQ2JVEoJiM4NzM0O0YnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy9GM1Enbm9ybWFsRic= )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 . A figura 7.6, contendo um gr\303\241fico de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JVEiRkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIixGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTEY5 ajuda a tornar isto claro.
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Figura 7.6 Gr\303\241fico de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJGRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+ em seu dom\303\255nio
J\303\241 vimos que a singularidade no dom\303\255nio de F \303\251 uma ass\303\255ntota vertical e identificamos uma ass\303\255ntota horizontal para F. A figura 7.7 inclui estas ass\303\255ntotas.
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Figura 7.7 Gr\303\241fico de LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Jy1GLDYlUSJGRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEwJkFwcGx5RnVuY3Rpb247RicvRjhRJ25vcm1hbEYnLyUmZmVuY2VHUSZmYWxzZUYnLyUqc2VwYXJhdG9yR0ZCLyUpc3RyZXRjaHlHRkIvJSpzeW1tZXRyaWNHRkIvJShsYXJnZW9wR0ZCLyUubW92YWJsZWxpbWl0c0dGQi8lJ2FjY2VudEdGQi8lJ2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlEtSShtZmVuY2VkR0YkNiQtRiM2JC1GLDYlUSJ4RidGNEY3Rj5GPkYrRj5GK0Y+ e suas ass\303\255ntotas
A tabela de regras para a constru\303\247\303\243o de fun\303\247\303\265es cont\303\255nuas (Tabela 7.1) assume que come\303\247a com as fun\303\247\303\265es cont\303\255nuas f e g. Algumas combina\303\247\303\265es de fun\303\247\303\265es descont\303\255nuas pode criar uma fun\303\247\303\243o cont\303\255nua.
<Text-field style="Heading 2" layout="Heading 2">Exemplo 7.6</Text-field>As fun\303\247\303\265es f e g definidas por: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s\303\243o descont\303\255nuas em LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictRiM2Ji1GLDYlUSJ4RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEiPUYnL0Y4USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGQi8lKXN0cmV0Y2h5R0ZCLyUqc3ltbWV0cmljR0ZCLyUobGFyZ2VvcEdGQi8lLm1vdmFibGVsaW1pdHNHRkIvJSdhY2NlbnRHRkIvJSdsc3BhY2VHUSwwLjI3Nzc3NzhlbUYnLyUncnNwYWNlR0ZRLUkjbW5HRiQ2JFEiMUYnRj5GPkYrRj4=, mas a sua soma: 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\303\251 cont\303\255nua para todos os n\303\272meros reais, que a Figura 7.8 ajuda a compreender melhor.
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 7.8 A soma de fun\303\247\303\265es descont\303\255nuas pode ser cont\303\255nua
<Text-field style="Heading 1" readonly="true" layout="Heading 1"><Font readonly="true">Maple T.A. Maple-Graded Question</Font></Text-field>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 Overview of Maple T.A. Integration.
<Text-field style="Heading 2" layout="Heading 2">Algorithmic Variables</Text-field>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 "`$variable`" as text or 2-D Math, for example, x := `$myvariable`. Adding algorithmic variables to the question is optional.
In the following execution group, add an algorithmic variable. To include more variables, add more execution groups. If your assignment contains more than one algorithmic variable, ensure the variable names are unique.with(RandomTools):
randomize():
a2 := Generate(integer(range=-5..5)):
while (a2 = 1 or a2 = 2) do a2 := Generate(integer(range=-5..5)) end do:
fn2 := piecewise(x=a2,c,x=b,1,(x^2-a2^2)/((sort(x-a2,x))*(sort(x-b,x))));LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Quest\303\243o 7.2</Font></Text-field>The question can contain text, 2-D Math, plots, images, and algorithmic variables. To insert a plot in the question, use the Plot Component.
In the following text region, enter the full contents of the question.Para qual valor de b a fun\303\247\303\243o f(x) = `$fn2` \303\251 cont\303\255nua em x = b?LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=
<Text-field style="Heading 2" layout="Heading 2">Answer</Text-field>To evaluate a student's response, enter the correct answer. Complete each line of code with a semicolon. The last line must evaluate to an expression that will be stored as the variable `$ANSWER`.
Enter Maple code in 1-D Math that evaluates to the correct answer. Add additional execution groups as needed.LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=-a2;
<Text-field style="Heading 2" layout="Heading 2">Evaluate Student's Response</Text-field>To evaluate a student's response, you must evalute to a Boolean value (true or false). The variable `$RESPONSE` is automatically initialized to the student's response. Using `$ANSWER` (the correct answer) and `$RESPONSE` (the student response), one example of evaluating to a Boolean value is, evalb(`$ANSWER`-`$RESPONSE`=0);
Enter Maple code to evaluate a student's response. To add additional Maple functionality, use the Answer input region.evalb(`$ANSWER`-`$RESPONSE`=0);
<Text-field style="Heading 2" layout="Heading 2">Hints</Text-field>A question can offer hints to students when requested. Hints can contain text, 2-D Math, and algorithmic variables. Adding hints to the question is optional.
Enter your hints in the following table. You can provide up to three hints.
Replace this text with hint 1.Replace this text with hint 2.Replace this text with hint 3.
<Text-field style="Heading 2" layout="Heading 2">Feedback</Text-field>A question can display feedback when a student provides an incorrect response. The feedback can contain text, 2-D Math, and algorithmic variables. The feedback can also refer to `$RESPONSE` (the student response) and `$ANSWER` (the correct answer). Adding feedback to the question is optional.
In the following text region, enter feedback to an incorrect response.Replace this text with feedback.with(StringTools): with(DocumentTools): feedback:=""; StudentResponse := GetProperty(`TextArea1`, `value`); ANSWER := -a2; if evalb(ANSWER-eval(parse(StudentResponse))=0) then feedback:=cat("<math><mrow><mtext mathvariant='bold'>Correct!
</mtext><mtext>
</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext></mrow></math>"); else if StudentResponse = "" then StudentResponse:="<NO RESPONSE>"; fi; feedback:=cat("<math><mrow><mtext mathvariant='bold'>Your answer is incorrect. </mtext><mtext>
</mtext><mtext mathvariant='bold'>Your Answer: </mtext><mtext>", StudentResponse, "</mtext><mtext>
</mtext>"); feedback:=cat(feedback, "<mtext mathvariant='bold'>Correct Answer: </mtext><math xmlns='http://www.w3.org/1998/Math/MathML'><mstyle fontfamily='Times New Roman' mathsize='12' mathcolor='#000000' veryverythinmathspace='0.0555556em' verythinmathspace='0.111111em' thinmathspace='0.166667em' mediummathspace='0.222222em' thickmathspace='0.277778em' verythickmathspace='0.333333em' veryverythickmathspace='0.388889em' scriptlevel='0' scriptsizemultiplier='0.71' scriptminsize='8.0pt'><mrow><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>−</mo><mn>3</mn></mrow></mrow></mstyle></math><mtext>
</mtext>"); feedback:=cat(feedback, SubstituteAll("<mrow><mtext>
</mtext></mrow>", "`$RESPONSE`", StudentResponse)); feedback:=SubstituteAll(feedback, "`$ANSWER`", "<math xmlns='http://www.w3.org/1998/Math/MathML'><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'><mrow><mrow><mo lspace='0.2222222em' rspace='0.2222222em'>−</mo><mn>3</mn></mrow></mrow></mstyle></math>"); feedback:=cat(feedback, "</mrow></math>"); fi; with(Maplets[Elements]): maplet := Maplet(Window('title' = "Maple TA Feedback", [[MathMLViewer('value' = feedback, 'fontsize'='12', 'width'='600', 'height'='200', 'breakwidth'='600')], [Button("OK", Shutdown())]])): if feedback <> "" then Maplets[Display](maplet); fi;
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7">Resumo</Text-field>Fun\303\247\303\265es cont\303\255nuas s\303\243o geralmente f\303\241ceis de se reconhecer por um bom desenho do gr\303\241fico da fun\303\247\303\243o em um dom\303\255nio apropriado. O problema \303\251 que pode ser dif\303\255cil criar um bom desenho sem conhecer o dom\303\255nio da fun\303\247\303\243o, onde ela \303\251 cont\303\255nua (e descont\303\255nua), algumas ass\303\255ntotas, e outras informa\303\247\303\265es sobre a fun\303\247\303\243o. At\303\251 desenvolvermos a habilidade para determinar onde a fun\303\247\303\243o tem m\303\241ximo e m\303\255nimo local e global, \303\251 crescente, decrescente, com concavidade para cima e concavidade para baixo, a continuidade ser\303\241 determinada usando propriedades de continuidade de fun\303\247\303\265es simples e as regras de combina\303\247\303\243o de fun\303\247\303\265es cont\303\255nuas para criar novas fun\303\247\303\265es cont\303\255nuas.
<Text-field style="Heading 1" layout="Heading 1" spaceabove="7"><Font encoding="UTF-8">Pr\303\263ximo Cap\303\255tulo</Font></Text-field>O Teorema do Valor Intermedi\303\241rio \303\251 uma "aplica\303\247\303\243o" de continuidade que ser\303\241 usada em alguns dos cap\303\255tulos posteriores neste 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Maplesoft, a division of Waterloo Maple Inc., 2005. 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