If (ank) is a subsequence of (an), then the series ank is called a subseries of

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If (ank) is a subsequence of (an), then the series ∑ ank is called a subseries of ∑ an. Show that ∑ an is absolutely convergent if and only if every subseries of it is 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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If (ank) is a subsequence of (an), then the series ank is called a subseries of

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If a n is absolutely convergent then the partial sums t n of a n are bounded say by M It is ...View the full answer

Introduction to Real Analysis

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