Answered: Σ (-1)". It is known that for all x E… | bartleby

Algebra & Trigonometry with Analytic Geometry

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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Question

Σ
(-1)".
It is known that for all x E R,
COS x =
(2n)!
n=0
(a) Find a Power Series Representation for xcos (2x).
Σ
(-1)"(n+1)n2n+1
(2n)!
(b) And then by differentiation, show that
= -T
n=0

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