Let I := [a, b] and let f : I R be a continuous function on

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Let I := [a, b] and let f : I → R be a continuous function on I such that for each x in I there exists y in I such that | f (y)| < ½| f(x)|. Prove there exists a point c in I such that f(c) = 0.

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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 11:01 AM

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Let I := [a, b] and let f : I R be a continuous function on

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Introduction to Real Analysis

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