Determine a condition on |x - 1| that will assure that: (a) |x2 - 1| < 1/2,

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Determine a condition on |x - 1| that will assure that:
(a) |x2 - 1| < 1/2,
(b) |x2 - 1 < 1/10-3,
(c) |x2 - 1| < 1/n for a given n ∈ N,
(d) |x3 - 1| < 1/n for a given n ∈ N.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 10:58 AM

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Determine a condition on |x - 1| that will assure that: (a) |x2 - 1| < 1/2,

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Introduction to Real Analysis

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