Suppose that E R is compact and nonempty. Prove that sup E, inf E E.

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Suppose that E ⊂ R is compact and nonempty. Prove that sup E, inf E ⊂ E.

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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 04:17 AM

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Suppose that E R is compact and nonempty. Prove that sup E, inf E E.

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Since E is compact it is bounded by Theorem 1046 Since it is ...View the full answer

An Introduction to Analysis

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