q151tfau - Name: MATH 151 Final Examination Autumn 2009...

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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 fnal 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 specifed, 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 fnd 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 2 x 2 if 2 <x .
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This note was uploaded on 03/13/2010 for the course MATH 151 taught by Professor Any during the Winter '08 term at Ohio State.

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q151tfau - Name: MATH 151 Final Examination Autumn 2009...

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