a) Let I be a bounded interval. Prove that if f : I R is uniformly

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a) Let I be a bounded interval. Prove that if f : I → R is uniformly continuous on I, then f is bounded on I.
b) Prove that a) may be false if I is unbounded or if I is merely continuous.

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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 03:58 AM

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a) Let I be a bounded interval. Prove that if f : I R is uniformly

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a Suppose I has endpoints a b By Theorem 339 there is a continuous ...View the full answer

An Introduction to Analysis

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