Suppose (a n is a sequence such that the subsequences (a 2n 1) and (a 2n) converge to the same limit, say a Show that (a n also converges to a Suppose (a n is a sequence such that the subsequences (a 2n 1) and (a 2n) converge to the same limit, say a Show that (a n also converges to a ...

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Suppose (a_n} is a sequence such that the subsequences (a_2n-1) and (a_2n) converge to the same...

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Posted Date: Mar 19, 2024 12:33 AM

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Suppose (a_n} is a sequence such that the subsequences (a_2n-1) and (a_2n) converge to the same...

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Suppose (a_n} is a sequence such that the subsequences (a_2n-1) and (a_2n) converge to the same limit, say a. Show that (a_n} also converges to a. Suppose (a_n} is a sequence such that the subsequences (a_2n-1) and (a_2n) converge to the same limit, say a. Show that (a_n} also converges to a.

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An Introduction to Analysis

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