Let I R be an interval and let f : I R be increasing on

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Let I ⊂ R be an interval and let f : I → R be increasing on I. If c is not an endpoint of I, show that the jump jf (c) of f at c is given by inf{f(y) - f(x) : x < c < y, x, y ∈ 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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