Let r 0, f Br(0) R, and suppose that there exists an a 1 such that fx) x a for all x r(0) Prove that f is differentiable at 0 What happens to this result when a 1 ...

By the Squeeze Theorem fx x 0 as x 0 so f0 0 Hence as h 0 since 1 It f ...

Let r > 0, f: Br(0) R, and suppose that there exists an a > 1

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Let r > 0, f: Br(0) → R, and suppose that there exists an a > 1 such that |fx)| < ||x|a for all x ∈ βr(0). Prove that f is differentiable at 0. What happens to this result 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 04:20 AM

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Let r > 0, f: Br(0) R, and suppose that there exists an a > 1

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An Introduction to Analysis

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