Question: Consider the following function. f ( x ) = x sin( x ), a = 0, n = 4, 0.7 x 0.7 (a) Approximate f

Consider the following function.

f(x) =xsin(x),a= 0,n= 4,0.7x0.7

(a) Approximatefby a Taylor polynomial with degreenat the numbera.

T4(x) =

(b) Use Taylor's Inequality to estimate the accuracy of the approximationf(x)Tn(x)

whenxlies in the given interval. (Round your answer to four decimal places.)

|R4(x)|

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

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