Suppose that ak and bk are nonnegative for all k N. Prove that if k=1 ak

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Suppose that ak and bk are nonnegative for all k ∈ N. Prove that if ∑∞k=1 ak and ∑∞k=1 bk converge, then ∑∞k=1 akbk also converges.

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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 04:06 AM

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Suppose that ak and bk are nonnegative for all k N. Prove that if k=1 ak

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Since b k 0 it surely is bounded Thus a k b ...View the full answer

An Introduction to Analysis

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