MATH 103 Study Guide - Midterm Guide: Ellipse, Direct Comparison Test
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MATH 103 Full Course Notes
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Be sure this exam has 9 pages including the cover. Note the number of marks for each question. Your answer will be marked right or wrong (work will not be considered for this problem). (2 points) (a) Xn=1 n0. 1 n0. 99 + n1. 1 + 1 converge? (2 points) (b) (2 points) (c: converge, diverge. 1 + sin x x2 dx converge? (2 points) (d) 0 sin3 xdx is: 0, 1, /2, 4/3 (a) (b) (c) (d) 0 x2e xdx is: e 1, 2e 1, 0. 5e, 1, 2 (2 points) (f) (2 points) (g) In the taylor series of x log(1 x) (about the point x = 0), the coe cient of the x3 term is: 1/3, 1/3, 1/2, 1/2 (e) Which of the following is closest approximation to the value of the integral z 1. 0 (hint: use taylor series: 1, 1/4, 1/2, 5/6 (f) Unless otherwise indicated, simplify your answer to the best possible.
