Define (a) Prove that all derivatives of / vanish at the origin: f(n) (0) = 0 for

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Define

(a) Prove that all derivatives of / vanish at the origin: f(n) (0) = 0 for n =0, 1,2,. . . .
(b) Prove that f(x) is not analytic by showing that its Taylor series at a = 0 does not converge to f(x) when x > 0.

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:30 AM

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Define (a) Prove that all derivatives of / vanish at the origin: f(n) (0) = 0 for

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0. so.

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a By induction we can show that where P n y and Q n x x n P n 1...View the full answer

Applied Linear Algebra

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