MATH 129 Midterm: MATH 129 University of Arizona Exam 4C S16
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31 Jan 2019
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1) [10 points] true or false: clearly indicate if the following statements are true or false. a) b) c) d) e) X n=0 ( 1)n n + 1 is absolutely convergent. If lim n |an| = 0, the series p n=1 an converges. A sequence that is monotone and bounded must be convergent. = 1 lim n n + 1. The work required to lift a two pound object ve feet in the air is 10 j: [5 points] suppose the partial sums of a series are given by the equation. 1 ln n: the series converges, the series diverges by the integral test, the series diverges by the limit comparison test with. 1 n : the series diverges by ratio test, [5 points] consider the geometric series, 3, 5, the series diverges. 1: [25 points] a spherical tank of radius 5 meters is buried in the ground.