Prove that (1 - x/k)k e-x uniformly on any closed, bounded subset of R.

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Prove that (1 - x/k)k → e-x uniformly on any closed, bounded subset of R.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:15 AM

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Prove that (1 - x/k)k e-x uniformly on any closed, bounded subset of R.

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Set xk If x 1 then 1 Hence by Bernoullis Inequality 1 xk kk1 1xk1 ...View the full answer

An Introduction to Analysis

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