MATH 126 Study Guide - Midterm Guide: Proctor

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Read the problems carefully and answer the questions asked. Write neatly and indicate clearly your answer to each problem. The backs of the sheets may be used for scratch paper or to continue your work on a problem. You must show your work to obtain full credit. Points may be deducted if you do not justify your nal answer. Calculators, notes, books, or collaboration with others are not allowed. If you have any questions about any of the problems ask the proctor, but no one else: determine whether or not the limit exists. If the limit exists nd it, and indicate clearly how you obtained your answer. If the limit does not exist give reasons why. (i) lim x 2 x7 128 x2 4 (ii) lim x 0 (cos x)1/x2: evaluate the integrals. (i) z 1/2. 1 + x2 dx, (iii) z 1 + x x + x3 dx: determine whether the integral is convergent or divergent (i) z .

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