Question: 14(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

14(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) = x-/2, 3.5 <x< 4.5 a = 4, n= 2,


f(x) = x-/2, 3.5

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a 22 c 0 x32 x52 315x72 2 b Rx Rx 00004 fn x 212 35 0 fn 4 le yRx 128 ... View full answer

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