Evaluate the series f(x) = Σ n=0 (−1)n+1n²x²n-1 (2n-1)! by comparing with the series expansion of sin(x).

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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Evaluate the series
f(x) = Σ
n=0
(−1)n+1n²x²n-1
(2n-1)!
by comparing with the series expansion of sin(x).
Transcribed Image Text:Evaluate the series f(x) = Σ n=0 (−1)n+1n²x²n-1 (2n-1)! by comparing with the series expansion of sin(x).
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