M 408D Study Guide - Final Guide: Direct Comparison Test, Ibm System P, Integral Test For Convergence
Document Summary
Oliver (smo998) hw 11. 04 rusin (52440) Multiple-choice questions may continue on the next column or page nd all choices before answering. 6 n6 hold for all n 1. On the other hand, by the p-series test, the series. Xn = 1 is convergent because p = 6 > 1. By the comparison test, therefore, the given series is convergent . Explanation: converges because it is a geometric series with. By the comparison test, therefore, the series is convergent . We use the comparison test with ak = 0 < ak bk , since 1 sin k 1. But this last series is a geometric series with. < 1 , oliver (smo998) hw 11. 04 rusin (52440) Which of the following series (a) (b) (c) Xn = 24 (cid:18)6 converge(s): c only, a and b only, b and c only correct, a, b, and c, b only.
