quizsoln9 - lim x f x = lim x f x = lim x 5 x e 2 x = 0...

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Name:___________________________ Math 155 Quiz 10 31 October 2006 Instructions : This quiz is closed book and closed notes. You may use a calculator. Label your answers and show all work. You need not simplify your answers. 1. (3 pts) Place the following terms in increasing order of rate at which the term approaches infinity as x approaches infinity. e 2 , ln(2 x ), x 5 , e x , x 2 , 2 2 x Answer: e 2 , ln(2 x ), x 2 , x 5 , e x , 2 2 x 2. (3 pts) Let f ( x ) = 5 x +1 e 2 x + x 2 a) Find f ( x ) : f ( x ) = 5 x e 2 x b) Evaluate lim x f ( x ) without using L’Hôpital’s Rule (show work!)
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Unformatted text preview: lim x f ( x ) = lim x f ( x ) = lim x 5 x e 2 x = 0 because e 2 x approaches infinity faster than 5 x 3. (4 pts) Let g ( x ) = x 2 + ln( x ) + e 3.4 x + p x 3 + e- 2 x a) Find g ( x ) : g ( x ) = e 3.4 x x 3 b) Find g ( x ) : g ( x ) = ln( x ) or p c) Evaluate lim x g ( x ) without using L’Hôpital’s Rule (show work!) lim x f ( x ) = lim x f ( x ) = lim x e 3.4 x x 3 = because e 3.4 x approaches infinity faster than x 3...
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This note was uploaded on 02/21/2008 for the course MATH 155 taught by Professor Johnson during the Spring '08 term at Colorado State.

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