Please tell me how to solve bellow questions (b).

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1 :1:+1' Consider the function f (3') = (a) Find the third-degree Taylor polynomial T393) of f (:3) centered at 3. (b) What is the maximum error in the approximation f (2:) 2: 311(3) for values of a: in the interval [23,32]? f(x) = f (3 ) = -1 f'(x) = f (3) =- ( + 1)2 16 2 f"(x) = (x + 1)3 f" ( 3 ) = 32 -6 3 f"(x) = f" (3) = - (x + 1)1 128 T3() (a -3) + (Ex - 3)2 (x - 3)3. 16 64 256(b) What is the maximum error in the approximation f(x) ~ 73(x) for values of x in the interval [2.8, 3.2]? Solution. Since f ( 4 ) ( 20 ) = 24 24 (ex + 1)5 3.85 = M for 2.8