?(a) Approximate f by a Taylor polynomial with degree n at the number a.(b) Use Taylor's
Chapter 11, Problem 14(choose chapter or problem)
(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 \(f(x) \approx T_{n}(x)\) when x lies in the given interval.
(c) Check your result in part (b) by graphing \(\left|R_{n}(x)\right|\).
\(f(x)=x^{-1 / 2}, \quad a=4, \quad n=2, \quad 3.5 \leqslant x \leqslant 4.5\).
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