f09exam1

# f09exam1 - (a lim x →-1 x 2-2 x 1 x-1(b lim x → 1-x 2 2...

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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
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 diﬀerentiable at 0? If so, what is g (0)? 3 7. Let f ( x ) = 2 x 2 + 3 x. Is f diﬀerentiable at 1? If so, what is f (1)? 4...
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## This note was uploaded on 01/18/2012 for the course MATH 2250 taught by Professor Chestkofsky during the Fall '08 term at UGA.

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f09exam1 - (a lim x →-1 x 2-2 x 1 x-1(b lim x → 1-x 2 2...

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