If (an) is a decreasing sequence of strictly positive numbers and if an is convergent, show that

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If (an) is a decreasing sequence of strictly positive numbers and if ∑an is convergent, show that lim(nan) = 0.

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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 (an) is a decreasing sequence of strictly positive numbers and if an is convergent, show that

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Since s 2n s n a n1 a 2n na 2n 12 ...View the full answer

Introduction to Real Analysis

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