Show that property (vii) of Theorem 8.4.8 does not hold if x < 0, but that we

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Show that property (vii) of Theorem 8.4.8 does not hold if x < 0, but that we have |sin x| < |x| for all x ∈ R. Also show that |sin x - x| < |x|3/6 for all x ∈ R.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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