Suppose that f: N R. If prove that limn f(n)/n exists and equals L. limo f(n

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Suppose that f: N †’ R. If

prove that limn†’ˆž f(n)/n exists and equals L.

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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 03:57 AM

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Suppose that f: N R. If prove that limn f(n)/n exists and equals L. limo f(n

Question:

limo f(n + 1)-f(n) = L,

Step by Step Answer:

Let 0 Set n sup k n fk 1 fkL and notice by hypothesis that n 0 as n Thus choos...View the full answer

An Introduction to Analysis

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