4. Let {ak}1 denote a sequence and let {sn}, denote the corresponding sequence of partial sums for the series > ak. Determine whether cach of the following is true or false. Provide a brief justification of your k=1 answer. (a) If ) ag = = 0, then lim s, = 0. k=1 (b) If lim sn = = 1, then lim ak = 1.

4. Let {ak}1 denote a sequence and let {sn}, denote the corresponding sequence of partial sums for the series > ak. Determine whether cach of the following is true or false. Provide a brief justification of your k=1 answer. (a) If ) ag = = 0, then lim s, = 0. k=1 (b) If lim sn = = 1, then lim ak = 1.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 72E

See similar textbooks