gma00108-lista-07

# gma00108-lista-07 - 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/ 07 Limites fundamentais [01] Determine cada um dos limites dados a seguir. (a) lim x 0 sen( x 3 ) x , (b) lim x 0 tg( πx ) tg( x ) , (c) lim x 0 1 cos( x ) x 2 , (d) lim x 0 sen 2 ( x ) x 4 , (e) lim x 0 1 sec( x ) x 2 , (f) lim x 0 sen( x )sen(3 x )sen(5 x ) tg(2 x )tg(4 x )tg(6 x ) , (g) lim x + sen( x ) x , (h) lim x + x cos( x ) x , ( i) lim x →−∞ 1+ x sen( x ) x , (j) lim x →−∞ ( x 2 sen( x ) ) . [02] Determine cada um dos limites dados a seguir. (a) lim x + ± 1+ 1 x ² 7 x , (b) lim x + ± 1+ 9 x ² x , (c) lim x + ± 1+ 1 x 2 ² ( x 2 ) , (d) lim x 0 ( 1+ x 2 ) (1 /x 2 ) . [03] Calcule lim x 0 x sen( x ) . [04] Calcule lim h 0 f (0 + h ) f (0) h para cada uma das fun¸c˜

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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-07 - DEPARTAMENTO DE MATEMTICA APLICADA GMA...

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