Apply integration to the expansion to prove that for -1 < x < 1, 00 1 1.

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Apply integration to the expansion

to prove that for -1 < x < 1, 00 1 1. (1)"x" = 1-x+x - t 1 + x n=0 In(1 + x) = 00 n=l (1)"-1x" n x2 2 3 14 4

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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Question Posted: Dec 19, 2023 08:07 AM

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Apply integration to the expansion to prove that for -1 < x < 1, 00 1 1.

Question:

to prove that for -1 < x < 1, 00 1 1. Σ(1)"x" = 1-x+x - t 1 + x n=0 In(1 + x) = 00 Σ n=l (−1)"-1x" n x2 2 3 14 4 +

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Calculus

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