Prove that given any n N, there is a function f Cn(R) such that f(n+1)(x)

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Prove that given any n ∈ N, there is a function f ∈ Cn(R) such that f(n+1)(x) does not exist for any x ∈ R.

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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 04:11 AM

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Prove that given any n N, there is a function f Cn(R) such that f(n+1)(x)

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The proof is by induction on n It is true for n 0 by Wei...View the full answer

An Introduction to Analysis

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