Suppose that xn > 0 and yn > 0 for all n N. Prove that if

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Suppose that xn > 0 and yn > 0 for all n ˆŠ N. Prove that if xn †’ x as n †’ ˆž (x may be an extended real number), then

provided that none of these products is of the form 0 €¢ ˆž.

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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 03:56 AM

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Suppose that xn > 0 and yn > 0 for all n N. Prove that if

Question:

lim sup(xnyn) x lim sup yn, -+00

Step by Step Answer:

Case 1 x By hypothesis C lim sup n y n 0 Let M 0 and ch...View the full answer

An Introduction to Analysis

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