Let {bk} be a real sequence and b R. a) Suppose that there are M, N N

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Let {bk} be a real sequence and b ˆˆ R.
a) Suppose that there are M, N ˆˆ N such that |b - bk| N. Prove that

for all n > N.
b) Prove that if bk †’ b as k †’ ˆž, then

as n †’ ˆž.
c) Show that the converse of b) is false.

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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 04:06 AM

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Let {bk} be a real sequence and b R. a) Suppose that there are M, N N

Question:

EDs b - b| + M(n – N) nb- Vi

Step by Step Answer:

a n k1 b k nb n k1 b k b n k1 b k b n kN1 b k b n k1 b k b Mn N b Set B n b 1 b n n Let 0 and choo...View the full answer

An Introduction to Analysis

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