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Let In(x) := nx/(1 + nx) for x E [0, 1]. Show that Un) converges nonunifonnly to an

Introduction to Real Analysis | 3rd Edition | ISBN: 9780471321484 | Authors: Robert G. Bartle, Donald R. Sherbert ISBN: 9780471321484 424

Solution for problem 14 Chapter 8.2

Introduction to Real Analysis | 3rd Edition

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Introduction to Real Analysis | 3rd Edition | ISBN: 9780471321484 | Authors: Robert G. Bartle, Donald R. Sherbert

Introduction to Real Analysis | 3rd Edition

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Problem 14

Let In(x) := nx/(1 + nx) for x E [0, 1]. Show that Un) converges nonunifonnly to an integrablefunction I and that fol I (x) dx = lim fol In (x) dx.

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Chapter 8.2, Problem 14 is Solved
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Textbook: Introduction to Real Analysis
Edition: 3
Author: Robert G. Bartle, Donald R. Sherbert
ISBN: 9780471321484

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Let In(x) := nx/(1 + nx) for x E [0, 1]. Show that Un) converges nonunifonnly to an

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