(- 1)"(x+ 1)" Consider the series > n! n = 0 (a) Find the series' radius and interval of convergence. (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter13: Sequences And Series
Section13.CR: Chapter Review
Problem 6CC
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(- 1)"(x + 1)"
Consider the series >
n!
n= 0
(a) Find the series' radius and interval of convergence.
(b) For what values of x does the series converge absolutely?
(c) For what values of x does the series converge conditionally?
Transcribed Image Text:(- 1)"(x + 1)" Consider the series > n! n= 0 (a) Find the series' radius and interval of convergence. (b) For what values of x does the series converge absolutely? (c) For what values of x does the series converge conditionally?
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