Let S R be nonempty. Show that if u = sup S, then {or every number

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Let S ⊂ R be nonempty. Show that if u = sup S, then {or every number n ∈ N the number u - 1/n is not an upper bound of S, but the number u + 1/n is an upper bound of S. (The converse is also true.

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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 10:54 AM

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Let S R be nonempty. Show that if u = sup S, then {or every number

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Introduction to Real Analysis

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