Let {xn} be a sequence. Suppose that there is an a (0, 1) such that |xn+1

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Let {xn} be a sequence. Suppose that there is an a ∊ (0, 1) such that
|xn+1 - xn| < an
for all n∊N. Prove that xn → x for some x ∊ R.

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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 03:56 AM

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Let {xn} be a sequence. Suppose that there is an a (0, 1) such that |xn+1

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By Exercise 144c if m n then Thus x ...View the full answer

An Introduction to Analysis

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