onsider the following function. f (x) = x sin (x), a = 0, n = 4, –0.8 < x < 0.8 (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- Tn(x) when x lies in the given interval. (Round answer to four decimal places.) |R4(x)| <

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Consider the following function.
f (x) = x sin (x), a = 0, n = 4, –0.8 < r < 0.8
(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 - Tn(x) when x lies in the given interval. (Round the
answer to four decimal places.)
|R4(x)| <
Transcribed Image Text:Consider the following function. f (x) = x sin (x), a = 0, n = 4, –0.8 < r < 0.8 (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 - Tn(x) when x lies in the given interval. (Round the answer to four decimal places.) |R4(x)| <
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