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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

The derivative of a series: Show that if you take the
derivative of the Maclaurin series for sinx term by
term, you get the series for cos x. That is, show that
(-1)*
2k
-x^ = cos x.
d
(sin x)
dx
Σ
%3D
(2k)!
k=0

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