6. Suppose that E is a nonempty subset of R and that f n -+ f uniformly...

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6. Suppose that E is a nonempty subset of R and that f n -+ f uniformly on E.

(a) Prove that if each fn is continuous on E, then f is continuous on E.

(b) Prove that if each f n is uniformly continuous on E, then f is uniformly continuous on E.

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 19, 2024 04:04 PM

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6. Suppose that E is a nonempty subset of R and that f n -+ f uniformly...

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An Introduction To Analysis

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