Consider the series (-1)"(2x+ 3)". 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 & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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Consider the series (-1)"(2x+ 3)".
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?
(a) Find the interval of convergence.
Transcribed Image Text:Consider the series (-1)"(2x+ 3)". 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? (a) Find the interval of convergence.
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