Find the Taylor polynomial of order 3 generated by f at a.f(x) = x2 + x+ 1, a = 2O A. P3(x) = 7+5(x- 2) + 5(x - 2)2 + 7(x - 2)3B. P3(x) = 7+5(x- 2) + (x - 2)2Oc. P3(x) = 1+3(x- 2) + 3(x - 2)2 + (x-2)3OD. P3(x) = 3 +5(x- 2) + 7(x - 2)2

f(x)=x2+x+1f(2)=4+2+1 =7f'(x)=2x+1f'(2)=4+1 =5f''(x)=2f''(2)=2f'''(2)=0

Answered: Find the Taylor polynomial of order 3…

Calculus: Early Transcendentals

8th Edition

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Author:James Stewart

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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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Find the Taylor polynomial of order 3 generated by fat a. f(x) = x2 +x+1, a=2 O A. P3(x) =7+5(x- 2) + 5(x – 2)2 + 7(x- 2)3 B. P3(x) = 7+5(x -2) + (x- 2)2 Oc. P3(x) =1+3(x– 2) + 3(x – 2)2 + (x – 2)3 OD. P3(x) = 3+5(x- 2) + 7(x - 2)2