Use taylors inequality to estimate the accuracy of the

Question

Consider the following function.

f(x) = x sin(x), a = 0, n = 4, -0.7 ≤ x ≤ 0.7

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

T₄(x) =  

(b) Use Taylor's Inequality to estimate the accuracy of the approximation f(x) ≈ T_n(x) when x lies in the given interval. (Round your answer to four decimal places.) |R₄(x)| ≤ 

(c) Check your result in part (b) by graphing |R_n(x)|.