Show that the series k = 0 ( 1 ) k k + 2 x k has

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Show that the series

k=0(1)kk+2xk

has a sum functionf:(1,1)R given by

f(x)=x21(xlog(1+x)),x=0

and f(0) = 1/2.

Related Book For answer-question

Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry

ISBN: 9780137945139

5th Edition

Authors: Michael Sullivan

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Posted Date: Apr 29, 2024 12:39 PM

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Show that the series k = 0 ( 1 ) k k + 2 x k has

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Expert Answer:

To show that the series k0 to 1k k2 xk has a sum function fx x2 1 x log1 x where x 1 1 and f0 12 we ... View the full answer

Precalculus Concepts Through Functions A Unit Circle Approach To Trigonometry

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