Let f be continuous on [a, b], let f(x) > 0 for x [a, b], and

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Let f be continuous on [a, b], let f(x) > 0 for x ∈ [a, b], and let Mn :(∫ba fn)1/n. Show that lim (Mn) = sup{f(x) : x ∈ [a, b]g.

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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 11:05 AM

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Let f be continuous on [a, b], let f(x) > 0 for x [a, b], and

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Let M sup f and let p a b be such that fp M Given 0 there e...View the full answer

Introduction to Real Analysis

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