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Suppose Un) is a sequence of continuous functions on an interval I that converges

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

Solution for problem 4 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 4

Suppose Un) is a sequence of continuous functions on an interval I that converges uniformly onI to a function I. If (xn) ~ I converges to Xo e I, show that limUn(xn = I(xo)'

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Chapter 8.2, Problem 4 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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Suppose Un) is a sequence of continuous functions on an interval I that converges

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