MATH 131 Midterm: MATH 131 UMass Amherst 131f17 Exam 1
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Problem 1 determine whether each series converges or diverges. (a) (8 points) k 2. Then, f x 0 for x 2, decreasing, continuous, and x ln x 2 dx, u ln x, du 1 x dx. Limb 1 ln b ln b. 1 u ln 2 ln 2 x ln x 2 dx converges, k 2. 1 k ln k 2 converges by the integral test. (b) (7 points) k 1. 4k2 k 10 k3 2k 11. 4 k and bk 4 k. Let ak 4k2 k 10 k3 2k 11. 4k2 k 10 k3 2k 11 diverges by the.
