# lista2 - SEGUNDA LISTA DE EXERCCIOS 1 Em cada situao...

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SEGUNDA LISTA DE EXERCÍCIOS 1. Em cada situação verifique se o limite existe. Caso exista calcule-o. a ) 2 2 lim 2 2 2 x x x x x b ) 3 | 3 | lim 3 x x x c ) d ) < < = 1 ) 1 ( 1 1 1 2 ) ( que em ), ( lim 2 1 x se x x se x x se x x f x f x x x x 2 4 lim 0 + 2. Calcule h x f h x f h ) ( ) ( lim o o 0 + em cada caso a seguir: a) f ( x ) = x 3 b) f ( x ) = a x 2 + bx + c c) f ( x ) = x 3. Calcule os limites indicados: a ) x x x 1 sen lim 0 b ) ) 10 3 cos 1 1 sen ( ) 1 ( lim 3 1 + + x x x x c ) x x x sen lim d ) 4 3 5 9 4 2 lim 3 2 3 + + + −∞ x x x x x x e ) 4 3 5 9 4 lim 3 2 4 + + + −∞ x x x x x x f ) 4 3 5 9 4 2 lim 4 2 3 + + + →∞ x x x x x x g ) 5 7 lim 5 + x x h ) ) ln( lim 0 x x i ) ) ln( lim x x −∞ j ) 5 3 2 1 lim 1 + x x x k ) t t t 3 9 lim 9 l ) 0 1 lim x 1 x x + m ) 6 3 9 lim 1 x x x x →∞ + n ) 6 3 9 lim 1 x x x x →−∞

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