Let Tn be the Maclaurin polynomial of a function f satisfying

Chapter 8, Problem 4

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Let Tn be the Maclaurin polynomial of a function f satisfying |f (4)(x)| 1 for all x. Which of the following statements follow from the error bound? (a) |T4(2) f (2)| 2 3 (b) |T3(2) f (2)| 2 3 (c) |T3(2) f (2)| 1 3

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