Let S be a set of nonnegative real numbers that is bounded above and let T :=

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Let S be a set of nonnegative real numbers that is bounded above and let T := {x2 : x ∈ S}. Prove that if u = sup S, then u2 = sup T. Give an example that shows the conclusion may be false if the restriction against negative numbers is removed.

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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 be a set of nonnegative real numbers that is bounded above and let T :=

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If x S then 0xu so that x 2 u 2 whi...View the full answer

Introduction to Real Analysis

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