Let X = (xn) be a sequence of positive real numbers such that lim(xn+1/xn) = L >

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Let X = (xn) be a sequence of positive real numbers such that lim(xn+1/xn) = L > 1. Show that X is not a bounded sequence and hence is not convergent.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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