For each of the following, prove that there is at least one x R which satisfies

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For each of the following, prove that there is at least one x ∊ R which satisfies the given equation.
a) ex = x3
b) ex = 2cos x + 1
c) 2x = 2 - 3x

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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 03:58 AM

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For each of the following, prove that there is at least one x R which satisfies

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a Consider fx e x x 3 This function is continuous and f1 1e 1 0 1 f0 Hence by the Intermediate Val...View the full answer

An Introduction to Analysis

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