gma00108-lista-06

# gma00108-lista-06 - 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/ 06 Limites infnitos, limites no infnito, ass´ ıntotas verticais e horizontais [01] Determine cada um dos limites dados a seguir. (a) lim x 5 + 6 x 5 , (b) lim x 5 - 6 x 5 , (c) lim x 3 1 ( x 3) 8 , (d) lim x 0 x 1 x 2 ( x +2) , (e) lim x →− 2 + x 1 x 2 ( x , (f) lim x 5 + ln( x 5). [02] Encontre as ass´ ıntotas verticais dos gr´ aFcos das fun¸c˜ oes y = f ( x )= x x 2 x 2 e y = g ( x x x 2 x +2 . [03] Verdadeiro ou falso? Se y = f ( x )n˜ ao est´a deFnida em um ponto p ,en aoareta x = p ´ euma ass´ ıntota vertical do gr´ aFco de f . JustiFque a sua resposta! [04] Determine cada um dos limites dados a seguir. (a) lim r + r 4 r 2 +1 r 5 + r 3 r , (b) lim x + 1+4 x 2 4+ x , (c) lim x + 1 x 1+ x , (d) lim x + ± 9 x 2 + x 3 x ² , (e) lim x + cos( x ), x + x , (g) lim x + ( x x ) , (h) lim x + arctg( x 2 x 4 ), (i) lim x + e ( x 2 ) . [05] Calcule lim x + ( x 1)( x 2)( x 3)( x 4)( x 5)( x 6)( x 7)( x 8)( x 9)( x 10) ( x 2 +1) 5 .

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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-06 - DEPARTAMENTO DE MATEMTICA APLICADA GMA...

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