Let f(x)= sin x where x is in radian and |x| ≤/2. Using the Tailor series expansion about xo = 0, find the polynomial approximation Pn(x) of the smallest degree n such that this approximation has the error bound f(x) - Pn(x)| ≤ 10-10 for all |x| ≤π/2.
Let f(x)= sin x where x is in radian and |x| ≤/2. Using the Tailor series expansion about xo = 0, find the polynomial approximation Pn(x) of the smallest degree n such that this approximation has the error bound f(x) - Pn(x)| ≤ 10-10 for all |x| ≤π/2.
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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