2 Consider the series (-1)"-1. n=1 (a) Show that the series converges. Justify your conclusion as specifically as possible. (b) How many terms are required to ensure that s, is within 0.01 of the true sum of the series? Justify your conclusion as specifically as possible.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter13: Sequences And Series
Section13.CR: Chapter Review
Problem 6CC
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2
Consider the series (-1)"-1.
n=1
(a) Show that the series converges. Justify your conclusion as specifically as possible.
(b) How many terms are required to ensure that s, is within 0.01 of the true sum of the series? Justify
your conclusion as specifically as possible.
Transcribed Image Text:2 Consider the series (-1)"-1. n=1 (a) Show that the series converges. Justify your conclusion as specifically as possible. (b) How many terms are required to ensure that s, is within 0.01 of the true sum of the series? Justify your conclusion as specifically as possible.
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