Let xn := 1/12 + 1/22 + +1/n2 for each n N. Prove that (xn)

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Let xn := 1/12 + 1/22 +∙ ∙ ∙+1/n2 for each n ∈ N. Prove that (xn) is increasing and bounded, and hence converges. [If k > 2, then 1/k2 1/k(k - 1) = 1/(k - 1) - 1/k.]

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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 10:57 AM

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Let xn := 1/12 + 1/22 + +1/n2 for each n N. Prove that (xn)

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The sequence x n is increasing Also x n ...View the full answer

Introduction to Real Analysis

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