Vn(5 – 2x)" Consider the power series 2n + 1 n=1 a. Show that the series is conditionally convergent at x = 3. b. Identify the interval of convergence of the series.

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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Vn(5 – 2x)"
Consider the power series
2n + 1
n=1
a. Show that the series is conditionally convergent at x = 3.
b. Identify the interval of convergence of the series.
Transcribed Image Text:Vn(5 – 2x)" Consider the power series 2n + 1 n=1 a. Show that the series is conditionally convergent at x = 3. b. Identify the interval of convergence of the series.
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