Suppose that E is a nonempty subset of R and that fn f uniformly on E.

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Suppose that E is a nonempty subset of R and that fn → f uniformly on E. Prove that if each fn is uniformly continuous on E, then f is uniformly continuous on 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 04:09 AM

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Suppose that E is a nonempty subset of R and that fn f uniformly on E.

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Given 0 choose 0 so small that x y E ...View the full answer

An Introduction to Analysis

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