Prove each of the following statements. a) 2n + 1 < 2n for n = 3, 4,....

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Prove each of the following statements.
a) 2n + 1 < 2n for n = 3, 4,....
b) n < 2n for n = 1, 2,....
c) n2 < 2n + 1 for n = 1, 2,....
d) n3 < 3n for n = 1, 2,....

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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 03:53 AM

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Prove each of the following statements. a) 2n + 1 < 2n for n = 3, 4,....

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a This inequality holds for n 3 If it holds for some n 3 then 2n 1 1 2n 1 2 2 n 2 2 n 2 ...View the full answer

An Introduction to Analysis

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