Use the Non uniform Continuity Criterion 5.4.2 to show that the following functions are not uniformly continuous

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Use the Non uniform Continuity Criterion 5.4.2 to show that the following functions are not uniformly continuous on the given sets.
(a) f(x) := x2; A := (0; ∞) .
(b) g(x) := sin(1/x); B := (0, ∞) .

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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 11:01 AM

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Use the Non uniform Continuity Criterion 5.4.2 to show that the following functions are not uniformly continuous

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Introduction to Real Analysis

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