Question: (a) Approximate f by a Taylor polynomial with degree n at the number a. (b) Use Taylor's Inequality to estimate the accuracy of the approximation

(a) Approximate f by a Taylor polynomial with degree n at the number a. 

(b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ≈ Tn (x) when x line in the given interval. 

(c) Check your result in part (b) by graphing |Rn (x)|. f(x) — sin x, a — п/6, п — 4, 0<x< п/3

f(x) sin x, a /6, 4, 0

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