9. Let f be a function that has derivatives of all orders on the interval (-1,1). Assume f(0) =1,(¹) (x) ≤ 6 for all x in the interval (−1,1).ƒ'(0) =*(0) = -1, " (0)=, and(a) Find the third-degree Taylor polynomial about x = 0 for the function f.

Given the function f, that has derivatives of all order on the interval -1,1. f(0)=1,f'(0)=12,…

Answered: Let f be a function that has s'(0) =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let f be a function that has s'(0) = S(0) -- derivatives of all orders on the interval (-1,1). Assume f(0) = 1, " (0)=, and (4) (x) ≤ 6 for all x in the interval (-1,1). (a) Find the third-degree Taylor polynomial about x = 0 for the function.