Let P be the partition whose existence is asserted in the Integrability Criterion 7.4.8. Show that if

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Let Pε be the partition whose existence is asserted in the Integrability Criterion 7.4.8. Show that if P is any refinement of Pε, then U(f; P) - L(f; P) < 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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