a) Show that 4k/(4k 2 - 1) > 1/k for k N. b) Prove that for

Question:

a) Show that 4k/(4k² - 1) > 1/k for k ∈ N.

b) Prove that

for all n ∈ N.

c) Prove that

is not of bounded variation on [0,1].

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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 04:04 AM

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a) Show that 4k/(4k 2 - 1) > 1/k for k N. b) Prove that for

Question:

2-1 > - dx = log(2")

Step by Step Answer:

a Fix k N The inequality holds if 4k 2 4k 2 1 ie if 1 0 Thus the ...View the full answer

An Introduction to Analysis

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