Let T2 be the Taylor polynomial of degree 2 for the function f(x) =x2 about a = 1. By Taylor's Inequality, we know that the maximum error in using T2(x) as an approximation of f(x) =x² on the interval [}, ] is SPACE FOR YOUR WORK 3.25/2 (a) 8-3!-23 3.25/2 (b) 3 8.3! 3 (c) 8.3! - 23 3.25/2 (d) 8-3! -35/2.23 (e) 4.2! - 22 (f) None of the above.

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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Let T2 be the Taylor polynomial of degree 2 for the function f(x) =x2 about a = 1. By Taylor's Inequality, we
know that the maximum error in using T2(x) as an approximation of f(x) =x² on the interval [}, ] is
SPACE FOR YOUR WORK
3.25/2
(a)
8-3!-23
3.25/2
(b)
3
8.3!
3
(c)
8.3! - 23
3.25/2
(d)
8-3! -35/2.23
(e)
4.2! - 22
(f)
None of the above.
Transcribed Image Text:Let T2 be the Taylor polynomial of degree 2 for the function f(x) =x2 about a = 1. By Taylor's Inequality, we know that the maximum error in using T2(x) as an approximation of f(x) =x² on the interval [}, ] is SPACE FOR YOUR WORK 3.25/2 (a) 8-3!-23 3.25/2 (b) 3 8.3! 3 (c) 8.3! - 23 3.25/2 (d) 8-3! -35/2.23 (e) 4.2! - 22 (f) None of the above.
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