6. Let xi=O x = O. (a) Prove that f is continuous on (0,00) and (-00,0) but...

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6. Let xi=O x = O.

(a) Prove that f is continuous on (0,00) and (-00,0) but discontinuous at O.

(b) Suppose that g : [0,2/7f] ---+ R is continuous on (0, 2/7f) and that there is a positive constant C > 0 such that Ig(x)1 :::; C-/X for all x E (0,2/7f). Prove that f(x)g(x) is continuous on [0,2/7f].

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 20, 2024 05:01 AM

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6. Let xi=O x = O. (a) Prove that f is continuous on (0,00) and (-00,0) but...

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An Introduction To Analysis

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