Let (fn), (gn) be sequences of bounded functions on A that converge uniformly on A to f,

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Let (fn), (gn) be sequences of bounded functions on A that converge uniformly on A to f, g, respectively. Show that (fngn) converges uniformly on A to fg.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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