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2211Spring09Test1

# 2211Spring09Test1 - 2211 Spring 2009 Test 1 Name Show all...

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2211 Spring 2009 Test 1 Name____________________________ Show all necessary work in your blue book. No credit will be given for incorrect work or answers without work. Please use a new page for each problem. Please use pencil. When finished, place this question paper in your blue book and turn it in. 105 points possible. 1. (5 points each) Evaluate the given limits if they exist: A) 2 0 sin tan lim x x x x B) 2 lim sec x x x π C) 10 6 2 lim 10 x x x - - - D) 2 2 2 6 lim 2 x x x x x + - - - E) 0 lim x x x - F) 2 2 2 4 lim 12 3 x x x →- + - G) Given 2 2, 0 ( ) , 0 2 4, 2 x x f x x x x + < = Find 0 lim ( ) x f x - H) A student used a calculator to estimate the limit of a function as x approached 0. The following is the table that they found: x -.01 -.001 -.0001 0 .001 .01 .1 f(x) 1.99499 1.99950 1.99995 2.00005 2.00050 2.00499 What value, if it exists, is the limit of the function? 2. (2 points each) Given that lim ( ) 0, lim ( ) 3, lim ( ) 5 x c x c x c f x g x h x = = - = - find: (A) [ ] lim ( ) ( ) x c f x g x - (B) [ ] lim ( ) / ( ) x c f x g x (C) [ ] 2 lim ( ) x c h x (D) 1 lim ( ) ( ) x c g x h x - (E) [ ] lim ( ) / ( ) x c g x f x 3.

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2211Spring09Test1 - 2211 Spring 2009 Test 1 Name Show all...

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