Find the sum of the series Σ_(-1)n (−1)n n=0 (2n +1) 4n (Hint: You may use some power series of the form o anx²n and integrate it.) n=0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Find the sum of the series
n=0
(−1)n
(2n+1) 4n
(Hint : You may use some power series of the form
Σno anx²n and integrate it.)
Transcribed Image Text:Find the sum of the series n=0 (−1)n (2n+1) 4n (Hint : You may use some power series of the form Σno anx²n and integrate it.)
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