(a) Use the Maclaurin polynomials P₁(x), P₃(x), and P₅(x) for f(x) = sin x to complete the table.

(b) Use a graphing utility to graph f(x) = sin x and the Maclaurin polynomials in part (a).(c) Describe the change in accuracy of a polynomial approximation as the distance from the point where the polynomial is centered increases.

Transcribed Image Text:

X sin x P₁(x) P3(x) P;(x) 0 0.25 0 0.2474 0.50 0.4794 0.6816 0.75 1 0.8415