Prove that each of the following functions is analytic on (-1, 1) and find its Maclaurin expansion.

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Prove that each of the following functions is analytic on (-1, 1) and find its Maclaurin expansion.
a) x/x5 + 1
b) ex/1 + x
c) log (1/|x2 - 1|)
d) arcsin x

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:10 AM

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Prove that each of the following functions is analytic on (-1, 1) and find its Maclaurin expansion.

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a For x 1 we have by the Geometric series and Theorem 733 ...View the full answer

An Introduction to Analysis

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