Let RN(x) denote the error term for the N th Taylor approximation of f(x) = cos(x) centered at a = 0. Of the choices below, which is the smallest value of N such that |RN (x)| < 0.001 for all æ in the interval [-1/2, 7/2] ? O N=15 N=3 O N=6 O N=9 O N=12

Let RN(x) denote the error term for the N th Taylor approximation of f(x) = cos(x) centered at a = 0. Of the choices below, which is the smallest value of N such that |RN (x)| < 0.001 for all æ in the interval [-1/2, 7/2] ? O N=15 N=3 O N=6 O N=9 O N=12

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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Question

Let RN(x) denote the error term for the N th Taylor approximation of f(x) = cos(r) centered at a = 0.
Of the choices below, which is the smallest value of N such that |RN (x)| < 0.001 for all æ in the interval
-п/2, п/2]?
N=15
N=3
N=6
N=9
O N=12

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