If an is absolutely convergent, is it true that every rearrangement of an is also absolutely convergent?

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If ∑an is absolutely convergent, is it true that every rearrangement of ∑an is also absolutely convergent?

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 11:08 AM

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Is also absolutely convergent? n+ 1 an
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If an is absolutely convergent, is it true that every rearrangement of an is also absolutely convergent?

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Yes Let M 0 be such that every partial sum t n of a n s...View the full answer

Introduction to Real Analysis

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