Find the Taylor polynomial of order 3 generated by f at a. f(x) =x, a = 3 %D O A. P3(x) = 1 + 6(x- 3) + 9(x– 3)² + 12(x - 3)3 O B. P3(x) = 9+6(x- 3) + 9(x- 3) + 12(x- 3) O C. P3(x) = 1+ 18(x – 3) + 81(x – 3)+324(x- 3) O D. P3(x) = 9 + 6(x- 3) + (x– 3)-

Find the Taylor polynomial T3 for the function f(x) = ln(x) at the number a = 1 OA. (x-1)+¹(x - 1)² + OB. (x-1) + (x − 1)² + C. none of these OD. (x + 1)(x + 1)² + OE. (x - 1) — (x − 1)² + (x - 1)³ (x- 1)³ (x + 1)³ (x − 1)³

Find the third Taylor polynomial for f(x): = 12 X expanded about c = 1. Select one: O a. P(x) = 12- 12(x-1)-72(x - 1)²- 12(x - 1)³ O b. P(x) = 12- 12(x-1)+24(x - 1)²-24(x-1)³ O c. P(x) = 12- 12(x+1)+12(x + 1)²- 12(x+1)³ 12(x-1)-24(x-1)²- 12(x-1)³ O d. P(x) = 12- O e. P3(x) = 12- 12(x-1)+12(x-1)² - 12(x-1)³