Need help with the graph

Consider the following function.

f(x) =x^3/5,a= 1,n= 3,0.7?x?1.3

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

T₃(x) =$$

1+3

5

?(x?1)?3

25

?(x?1)2+7

25

?(x?1)3

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

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

|R₃(x)|?.027126771

0.00091515

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

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