Suppose that f : R R is continuous on R and that = 0 and Prove that

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Suppose that f : R †’ R is continuous on R and that = 0 and Prove that f is bounded on R and attains either a maximum or minimum on R. Give an example to show that both a maximum and a minimum need not be attained.

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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 10:59 AM

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Suppose that f : R R is continuous on R and that = 0 and Prove that

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lim f

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If fx 0 for all x R then all is trivial hence assume that f takes on som...View the full answer

Introduction to Real Analysis

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