Let x1 > 2 and xn+1 := 1 +xn - 1 for n N. Show that

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Let x1 > 2 and xn+1 := 1 +√xn - 1 for n ∈ N. Show that (xn) is decreasing and bounded below by 2. Find the 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 10:58 AM

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Let x1 > 2 and xn+1 := 1 +xn - 1 for n N. Show that

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If x k 2 then x k1 1 x k 1 1 2 1 2 so x n 2 for all ...View the full answer

Introduction to Real Analysis

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