MAC 2312 Midterm: Exam-2-Additional-Review-Problems-MAC-2312
31 Jan 2019
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This review, produced by the broward teaching center, contains a collection of questions which are representative of the type you may encounter on the exam. The teaching center is located in the basement of broward hall: You can learn more about the services o ered by the teaching center by visiting https://teachingcenter. ufl. edu: determine whether or not each of the following sequences converge. If the sequence does converge, nd its limit. Otherwise, explain why the sequence fails to converge. (a) (cid:26) 1 n (cid:27)n 0 (b) nsinn(cid:16) (c) (cid:26)(cid:18) 1. 3 (d) (cid:26)tan 1(cid:18)3n2 + 1 n! (cid:19)(cid:27)n 1 (e) (cid:26)1 3 5 7 (2n 1) (f) a1 = 2, a2 = q2 2, a3 = r2q2 2, . (cid:27)n 2 (2n)! Express s105 s100 in closed form (no ellipses or xs): explore the convergence of the series (a) (b) 3 as a geometric series with r =
