This exercise is intended to reinforce the proof of Taylors Theorem. (a) Show that f (x)

Chapter 8, Problem 64

(choose chapter or problem)

This exercise is intended to reinforce the proof of Taylors Theorem. (a) Show that f (x) = T0(x) + x a f (u) du. (b) Use Integration by Parts to prove the formula x a (x u)f (2) (u) du = f (a)(x a) + x a f (u) du (c) Prove the case n = 2 of Taylors Theorem: f (x) = T1(x) + x a (x u)f (2) (u) du

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