LISTA_03 - Lista 3 de C´ alculo Aplicado I e C´ alculo...

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Unformatted text preview: Lista 3 de C´ alculo Aplicado I e C´ alculo Diferencial e Integral Aplicado I 2006-2 5 Universidade Federal Fluminense EGM - Instituto de Matem´atica GMA - Departamento de Matem´atica Aplicada LISTA 3 - 2006-2 Limite e limites laterais Continuidade 1. Os gr´aficos de g e h s˜ ao dados. Ache os limites laterais de f no ponto indicado. f ( x ) = g ( x ) · h ( x ) e f ( x ) = ( h ◦ g )( x ) ambas no ponto x = 1 g y x –1 1 2 3 4 5 –3 –2 –1 1 2 3 4 h y x –2 2 4 –3 –2 –1 1 2 3 4 2. Dadas as fun¸c˜ oes f ( x ) = ‰ x 2 + 3 se x ≤ 1 x + 1 se x > 1 e g ( x ) = ‰ x 2 se x ≤ 1 2 se x > 1 , (i) Esboce o gr´afico de f e g ; (ii) Calcule lim x → 1 f ( x ) e lim x → 1 g ( x ); (iii) Dˆ e a express˜ao da fun¸c˜ ao F ( x ) = f ( x ) · g ( x ) e verifique se existe lim x → 1 F ( x ). 3. Dˆ e um exemplo no qual lim x → | f ( x ) | existe, mas lim x → f ( x ) n˜ao existe. 4. Se f ( x ) > 0 para todo x 6 = 2 e f (2) =- 3, verifique se as afirmativas abaixo s˜ao verdadeiras ou falsas....
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This note was uploaded on 10/30/2011 for the course ECON 101 taught by Professor Vários during the Spring '11 term at Universidade Federal do Rio de Janeiro.

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LISTA_03 - Lista 3 de C´ alculo Aplicado I e C´ alculo...

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