Suppose that f is continuous on [a, b] and that F(x) :=sup f ([a,x]). Prove that F

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Suppose that f is continuous on [a, b] and that
F(x) :=sup f ([a,x]).
Prove that F is continuous on [a, b].

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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 04:00 AM

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Suppose that f is continuous on [a, b] and that F(x) :=sup f ([a,x]). Prove that F

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By the Monotone Property for Suprema F is increasing on a b Hence by Theor...View the full answer

An Introduction to Analysis

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