Let I be an open interval which contains 0 and f : I R. If there

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Let I be an open interval which contains 0 and f : I → R. If there exists an a > 1 such that |f(x)| < |x|a for all x ∊ I, prove that f is differentiable at 0. What happens when a = 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 03:59 AM

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Let I be an open interval which contains 0 and f : I R. If there

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Since fx x for all x I f0 0 Thus by hypothesis Since 1 this last ...View the full answer

An Introduction to Analysis

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