?(a) Approximate f by a Taylor polynomial with degree n at the number n.(b) Use Taylor's
Chapter 11, Problem 16(choose chapter or problem)
(a) Approximate f by a Taylor polynomial with degree n at the number n.
(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. A (c) Check your result in part (b) by graphing \(\left|R_{n}(x)\right|\).
\(f(x)=\sin x, a=\pi / 6, n=4,0 \leqslant x \leqslant \pi / 3\)
Equation Transcription:
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Text Transcription:
f(x) almost equal to T_n(x)
The absolute value of R_n(x)
f(x) = sinx, a = pi/6, n = 4, 0 less than or slanted quals x less than or slanted quals pi/3
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