If x1 < x2 are arbitrary real numbers and xn : = 1/2 (xn-2 + xn-1) for

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If x1 < x2 are arbitrary real numbers and xn : = 1/2 (xn-2 + xn-1) for n > 2, show that (xn) is convergent. What is its limit?

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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 10:56 AM

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If x1 < x2 are arbitrary real numbers and xn : = 1/2 (xn-2 + xn-1) for

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If L x 2 x 1 then x n1 x n L2 n1 whence ...View the full answer

Introduction to Real Analysis

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