Let x1:= 8 and xn+1 := 1/2 xn + 2 for n N. Show that (xn)

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Let x1:= 8 and xn+1 := 1/2 xn + 2 for n ∈ N. Show that (xn) is bounded and monotone. 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 10:57 AM

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Let x1:= 8 and xn+1 := 1/2 xn + 2 for n N. Show that (xn)

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Note that x 2 6 x 1 Also if x k1 x k then ...View the full answer

Introduction to Real Analysis

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