Suppose that ak I 0 as k . Prove that k=1 ak sin kx converges

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Suppose that ak ↓ I 0 as k → ∞. Prove that ∑∞k=1 ak sin kx converges uniformly on any closed interval [a, b] ⊂ (0, 2π).

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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 04:09 AM

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Suppose that ak I 0 as k . Prove that k=1 ak sin kx converges

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By Example 632 Since a b 0 2 it ...View the full answer

An Introduction to Analysis

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