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q151tfau

# q151tfau - Name MATH 151 Final Examination Autumn 2009 Time...

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Name: MATH 151 Final Examination Autumn 2009 Time : 120 min Max : 180 Instructions : This examination has 15 questions on 8 pages. Write your final answer to each question in the space provided under that question. Appropriate work using algebra and/or calculus must be shown . Inadequately supported answers, especially if based soley on graphing calculators, may not be given credit. Unless otherwise specified, give the exact values of all answers, using fractions, radicals, e and π as needed, and not decimal approximations . x y 5 - 5 5 - 5 1 (8 points ). The graph of a certain function f is below, on the right. Use this graph to find the following limits. Use and -∞ as appropriate. lim x →-∞ f ( x ): lim x →- 1 - f ( x ): lim x →- 1 + f ( x ): lim x →- 1 f ( x ): lim x 1 - f ( x ): lim x 1 + f ( x ): lim x 1 f ( x ): lim x 3 - f ( x ): lim x 3 + f ( x ): lim x 3 f ( x ): lim x 5 - f ( x ): (over) Typeset using A M S -T E X.

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MATH 151 Final Examination , p . 2 Autumn 2009 2. Find the following limits, where f ( x ) = 1 /x if x < 0 2 x if 0 x < 2 x 2 if 2 < x .
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q151tfau - Name MATH 151 Final Examination Autumn 2009 Time...

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