Let x R. a) Prove that |x| < 2 implies |x2 - 4| < 4|x -

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Let x ∈ R.
a) Prove that |x| < 2 implies |x2 - 4| < 4|x - 2|.
b) Prove that |x| < 1 implies |x2 + 2x - 3| < 4|x - 1|.
c) Prove that -3 < x < 2 implies |x2 + x - 6| < 6|x - 2|.
d) Prove that -1 < x < 0 implies |x3 - 2x + 1| < 1 .25|x - 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 03:52 AM

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Let x R. a) Prove that |x| < 2 implies |x2 - 4| < 4|x -

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a Since x 2 x 2 x 2 implies x 2 4 x 2 x 2 4x 2 b Since x ...View the full answer

An Introduction to Analysis

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