quizsoln9 - Name Math 155 October 2006 Instructions This...

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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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