Find the Taylor polynomial of order 3 generated by f at a. f(x) = x², a = 2 A. P3(x) = 1 +8(x- 2) + 24(x- 2)2 + 64(x– 2)3 O B. P3(x) = 1 + 4(x - 2) + 6(x- 2)² +8(x- 2)³ O c. P3(x) = 4 + 4(x- 2) + 6(x- 2)² + 8(x- 2)3 D. P3(x) = 4 + 4(x- 2) + (x- 2)2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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Find the Taylor polynomial of order 3 generated by f at a.
f(x) = x?, a = 2
O A. P3(x) = 1 + 8(x- 2) + 24(x – 2)? +64(x- 2)³
O B. P3(x) = 1+4(x- 2) + 6(x – 2)² + 8(x– 2)³
O c. P3(x) = 4 + 4(x– 2) + 6(x – 2)² + 8(x- 2)³
O D. P3(x) = 4 + 4(x– 2) + (x – 2)?
Transcribed Image Text:Find the Taylor polynomial of order 3 generated by f at a. f(x) = x?, a = 2 O A. P3(x) = 1 + 8(x- 2) + 24(x – 2)? +64(x- 2)³ O B. P3(x) = 1+4(x- 2) + 6(x – 2)² + 8(x– 2)³ O c. P3(x) = 4 + 4(x– 2) + 6(x – 2)² + 8(x- 2)³ O D. P3(x) = 4 + 4(x– 2) + (x – 2)?
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