Define (a) Prove that all derivatives of / vanish at the origin: f(n) (0) = 0 for
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(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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a By induction we can show that where P n y and Q n x x n P n 1...View the full answer
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