Prove that a lower bound of a set need not be unique but the infimum of a

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Prove that a lower bound of a set need not be unique but the infimum of a given set E is unique.

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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 03:53 AM

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Let S be a set that is bounded below. Prove that a lower bound w of S is the infimum of S if and only if for any > 0 there exists t S such that t < w + .
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Prove that a lower bound of a set need not be unique but the infimum of a

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If m is a lower bo...View the full answer

An Introduction to Analysis

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