PHYS 204A Midterm: PHYS 204A Chico State Exam 4 Spring 17
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There will be a quiz on thursday on similar material. Doing them right will improve your score on prelim2; i haven"t yet decided by how much. Determine whether the following integrals converge or di- verge. Solution: 0 3 + sin(x5 + 2) 4, and x4 < x4 + 1. By the comparison test, since r the problem. 1 x4 dx converges, so does the intergral in. 3x3 + 2x x4 + 1 (b) z dx. A comparison test to 1 x4+1 = x3. The rst term is 1 x , and the second term x implies that the integral diverges. Solution: ln n n2 1 = ln(n2: the terms for n even go to 1, the terms for n odd go to 1. The limit lim n an does not exist. By the n term test, the series diverges. n .
