f09exam1

f09exam1 - (a) lim x -1 x 2-2 x +1 x-1 (b) lim x 1-x 2 +2 x...

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Name: October 2, 2009 Math 113 Exam #1 1. What are the domain and range of the function f ( x ) = 1 4 - x ? 2. Evaluate lim x →∞ 4 x 2 - 8 x + 7 17 x + 12 1
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3. Let f ( x ) = ± x - 2 x 2 - 4 for x 6 = 2 a for x = 2 If f ( x ) is continuous at x = 2, then find the value of a . 4. Are there any solutions to the equation cos x = x ? 2
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5. Determine the following limits, if they exist
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Unformatted text preview: (a) lim x -1 x 2-2 x +1 x-1 (b) lim x 1-x 2 +2 x +1 x-1 6. Let g ( x ) = x Is g dierentiable at 0? If so, what is g (0)? 3 7. Let f ( x ) = 2 x 2 + 3 x. Is f dierentiable at 1? If so, what is f (1)? 4...
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f09exam1 - (a) lim x -1 x 2-2 x +1 x-1 (b) lim x 1-x 2 +2 x...

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