Let I := [a, b] and let f : I R be a (not necessarily continuous)

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Let I := [a, b] and let f : I → R be a (not necessarily continuous) function with the property that for every x ∈ I, the function f is bounded on a neighborhood Vδx (x) of x (in the sense of Definition 4.2.1). Prove that f is bounded on I.

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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 11:00 AM

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Let I := [a, b] and let f : I R be a (not necessarily continuous)

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If f is not bounded on I then for each n N ...View the full answer

Introduction to Real Analysis

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