6. Prove that each of the following inequalities holds for all n E N. (a) n <...

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6. Prove that each of the following inequalities holds for all n E N.

(a) n < 2n.

(b) n2 ~ 2n + 1.

(c) n3 ~ 3n .

[!]. This exercise is used in Section 2.3. Prove that 0 ~ a < b implies o ~ an < bn and 0 ~ y'a < V'b for all n E N.

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 10:07 AM

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6. Prove that each of the following inequalities holds for all n E N. (a) n <...

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An Introduction To Analysis

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