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q151q2wi - Typeset using A M S-T E X MATH 151 Assignment 2...

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Name: MATH 151 Assignment 2 Autumn 2009 Time : Due at start of class on 1/22/2010 Max : 15 Instructions : This assignment has 4 questions on 2 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 . 1 (2 points ). Find lim x →-∞ x 4 1 + x 4 . Answer : 2 (3 points ). Find the asymptotes to the graph of y = 9 - x 2 x 2 - 5 x + 6 . Answer : 3 (2 points ). Find lim x 0 csc(5 x ) cot(3 x ) . Answer : (over)
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Unformatted text preview: Typeset using A M S-T E X. MATH 151 Assignment 2, p . 2 Autumn 2009 4. Find the following limits, where f ( x ) = 2 x/ ( x-2) if x <-2-x/ 2 if-2 < x ≤ e-x if 0 < x . (i) (1 point ) Find lim x →-2-f ( x ) Answer : (ii) (1 point ) Find lim x →-2 + f ( x ) Answer : (iii) (1 point ) Find lim x →-2 f ( x ) Answer : (iv) (1 point ) Find lim x →-f ( x ) Answer : (v) (1 point ) Find lim x → + f ( x ) Answer : (vi) (1 point ) Find lim x → f ( x ) Answer : (vii) (1 point ) Find lim x →∞ f ( x ) Answer : (viii) (1 point ) Find lim x →-∞ f ( x ) Answer : end...
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