Let f R*[a, g] for all > a. Show that f R*[a, ] if

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Let f ∈ R*[a, g] for all γ > a. Show that f ∈ R*[a, ∞] if and only if for every ε > 0 there exists K(ε) > a such that if q > p > K(ε), then |∫qp f| < ε.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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