Use Definition 2.14 to prove that each of the following sequences diverges to + or to

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Use Definition 2.14 to prove that each of the following sequences diverges to + ∞ or to - ∞.
a) xn = n2 - n
b) xn = n - 3n2
c) xn = n2+ 1/n
d) xn = n2(2 + sin(n3 + n + 1))

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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 03:55 AM

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Use Definition 2.14 to prove that each of the following sequences diverges to + or to

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a Let M R and choose by Archimedes an N N such that N maxM ...View the full answer

An Introduction to Analysis

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