Consider the following function. f(x) = x sin(x), a = 0, n = 4, −0.5 ≤ x ≤ 0.5 (a) Approximate f by a Taylor polynomial

Question

Consider the following function.
f(x) = x sin(x), a = 0, n = 4, −0.5 ≤ x ≤ 0.5
(a) Approximate f by a Taylor polynomial with degree n at the number a.
T4(x) =
(b) Use Taylor’s Inequality to estimate the accuracy of the approximation
f(x) ≈ Tn(x) when x lies in the given interval. (Round your answer to four decimal places.)
|R4(x)| ≤
(c) Check your result in part (b) by graphing |Rn(x)|.

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RI SƠ 6 months 2021-07-24T18:50:17+00:00 1 Answers 16 views 0

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    2021-07-24T18:51:37+00:00

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