Prove that for any real sequence {xn}. lim sup x,-inf sups) and liminfAn = sup ( Infxk

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Prove that

for any real sequence {xn}.

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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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Prove that for any real sequence {xn}. lim sup x,-inf sups) and liminfAn = sup ( Infxk

Question:

lim sup x,-inf sups) and liminfAn = sup ( Infxk 1+00

Step by Step Answer:

It suffices to prove the first identity Let s inf n N sup k n x k Case 1 s Then sup k n x k for al...View the full answer

An Introduction to Analysis

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