Suppose that x0 R and xn = (1 + xn-1)/2 for n N. Use he

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Suppose that x0 ∊ R and xn = (1 + xn-1)/2 for n ∊ N. Use ↑he Monotone Convergence theorem to prove that xn → 1 as n → ∞.

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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 03:55 AM

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Suppose that x0 R and xn = (1 + xn-1)/2 for n N. Use he

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Case 1 x 0 1 Suppose x n1 1 Then Thus x n is increasing and bou...View the full answer

An Introduction to Analysis

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