gma00108-lista-05 - DEPARTAMENTO DE MATEMTICA APLICADA GMA...

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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/ 05 Opera¸c˜oes com limites, o teorema do confronto e o teorema do anulamento [01] Os gr´ afcos das Fun¸c˜ oes f e g ao dados abaixo. Use-os pra calcular cada limite, caso ele exista. (a) lim x 2 [ f ( x )+ g ( x )], (b) lim x 1 [ f ( x g ( x )], (c) lim x 0 [ f ( x ) · g ( x )], (d) lim x →− 1 g ( x ) f ( x ) , (e) lim x 2 [ x 3 · f ( x )], (F) lim x 1 p 3+ f ( x ). . [02] Considere as Fun¸c˜ oes f ( x )= x 2 + x 6 x 2 e g ( x x +3 . (a) As Fun¸c˜ oes f e g ao diFerentes. Por quˆ e? (b) Apesar de f e g serem diFerentes, ainda ´ e verdade que lim x 2 x 2 + x 6 x 2 = lim x 2 ( x +3) . Por quˆ e? [03] Calcule cada limite abaixo, se ele existir. (a) lim t 0 2 t 2 t , (b) lim x 2 x 4 16 x 2 , (c) lim x 9 x 2 81 x 3 , (c) lim x 1 x x 2 1 x . [04] Uma Fun¸c˜ ao f : R R satisFaz a seguinte propriedade: 1 + 4 x x 2 f ( x ) x 2 4 x +9para
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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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gma00108-lista-05 - DEPARTAMENTO DE MATEMTICA APLICADA GMA...

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