Consider the power series (2.x + 3)" V2n² + n –1 (a) Determine the interval and radius of convergence of the power series. (b) Determine the interval where the power series is absolutely convergent.

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 power series
(2.x + 3)"
V2n² + n – 1
n=1
(a) Determine the interval and radius of convergence of the power series.
(b) Determine the interval where the power series is absolutely convergent.
Transcribed Image Text:Consider the power series (2.x + 3)" V2n² + n – 1 n=1 (a) Determine the interval and radius of convergence of the power series. (b) Determine the interval where the power series is absolutely convergent.
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