?(a) Approximate f by a Taylor polynomial with degree n at the number a.(b) Use Taylor's

Chapter 11, Problem 22

(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 \(\left|R_n(x)\right|\).

\(f(x)=\sinh 2 x, a=0, n=5, \quad-1 \leqslant x \leqslant 1\)

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