Prove that each of the following inequalities holds. a) 2x + 0.7 < ex for all x

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Prove that each of the following inequalities holds.
a) 2x + 0.7 < ex for all x > 1.
b) log x < √x - 0.6 for all x > 4.
c) sin2 x < 2|x| for all x ∈ R.
d) 1 - sin x < ex for all x > 0.

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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 03:59 AM

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Prove that each of the following inequalities holds. a) 2x + 0.7 < ex for all x

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a Let fx e x 2x 07 Since x 1 fx e x 2 0 Hence by Theorem 41...View the full answer

An Introduction to Analysis

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