gma00108-lista-16

# gma00108-lista-16 - LISTA DE EXERC ICIOS DEPARTAMENTO DE...

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GMA DEPARTAMENTO DE MATEMÁTICA APLICADA GM LISTA DE EXERC ´ ICIOS alculo I –A– Humberto Jos´ e Bortolossi http://www.professores.uF.br/hjbortol/ 16 AregradeL ’Hˆopital [01] Encontre fun¸c˜ oes f 1 , g 1 , f 2 , g 2 ,com f 1 6 = f 2 e g 1 6 = g 2 ,ta isque lim x p f 1 ( x )=0 , lim x p g 1 ( x )=0 , lim x p f 2 ( x )=0 , lim x p g 2 ( x )=0 , mas lim x p f 1 ( x ) g 1 ( x ) 6 = lim x p f 2 ( x ) g 2 ( x ) . [02] Encontre fun¸c˜ oes f 1 , g 1 , f 2 , g 2 ,com f 1 6 = f 2 e g 1 6 = g 2 ,ta isque lim x p f 1 ( x )= , lim x p g 1 ( x )= , lim x p f 2 ( x )= , lim x p g 2 ( x )= , mas lim x p f 1 ( x ) g 1 ( x ) 6 = lim x p f 2 ( x ) g 2 ( x ) . [03] Encontre fun¸c˜ oes f 1 , g 1 , f 2 , g 2 ,com f 1 6 = f 2 e g 1 6 = g 2 ,ta isque lim x p f 1 ( x )=0 , lim x p g 1 ( x )= , lim x p f 2 ( x )=0 , lim x p g 2 ( x )= , mas lim x p [ f 1 ( x ) · g 1 ( x )] 6 = lim x p [ f 2 ( x ) · g 2 ( x )] . [04] Encontre fun¸c˜ oes f 1 , g 1 , f 2 , g 2 ,com f 1 6 = f 2 e g 1 6 = g 2 ,ta isque lim x p f 1 ( x )= , lim x p g 1 ( x )= , lim x p f 2 ( x )= , lim x p g 2 ( x )= , mas lim x p [ f 1 ( x ) g 1 ( x )] 6

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gma00108-lista-16 - LISTA DE EXERC ICIOS DEPARTAMENTO DE...

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