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7+1 (1 point) Suppose that the function f(x) is equal to the convergent powers series (7)...
Problem 9. 6141 (1 point) Suppose that the function f(x) is equal to the convergent powers series (2-6)4n+3 n! Which of the following is equal to the value of f(19)(6)? A.0. 620 B. 19! O C. 620 O D. 19! 4! a E. 4!
(1 point) Suppose that the function f(x) is equal to the convergent powers series 71+1 -(x – 8)4n+1 n! n=0 Which of the following is equal to the value of f(21)(8)? O A. 722 OB. 0. 722 C. 21! 76 5! 76 E. -21! 5!
5+1 (1 point) Suppose that the function f(x) is equal to the convergent powers series (x - 7)3n+2 n! Which of the following is equal to the value of f(11) (7)? 54 A. 3! B.O. 512 c. 11! 54 D. 11! 3! E. 512
5+1 (1 point) Suppose that the function f(x) is equal to the convergent powers series (x - 7)3n+2 n! Which of the following is equal to the value of f(11) (7)? 54 A. 3! B.O. 512 c. 11! 54 D. 11! 3! E. 512
1 point) Suppose that the function f(x) is equal to the convergent powers series 51+1 -(x - 2)3n+1 n! n= Vhich of the following is equal to the value of f(13) (2)? A. 514 B. 4! C.O. u D. 13! 4! 514 E. 13! IM8 n?(5x - 1)" 2" n=0 Which of the following is the radius of convergence for the series? O A. R= IN OB. R= 2 C. R= . OD. R= 0. O 0 5 E. R=...
Problem 9. (1 point) Suppose that the function f(x) is equal to the convergent powers series Σ 3+1 n! -(x – 6) 30+2 Which of the following is equal to the value of f(14) (6)? -14! 4! B.O. 35 c. 4!" 315 D 14! E. 35 Problem 10. (1 point) Determine the Taylor Series of the function f(x) = 9x? (1 − x)2 centred at x = 0. Α. Σ(-9)",ία. 9 Β. x843 Η + c. Σ9" x2η. O D....
Problem 7. (1 point) Given that a function f(x) has a tangent line at x = 3 given by y 7(x – 3) +1. Which of the following could be the Taylor Series representation for f(x)? O 7 A. (2-3)" non! O 0+ (7)" B. (2-3)" n! n0 c. 1+ (7)" n! (2x - 3)" O D. 1 (x - 3)" n!
(1 point) Find Taylor series of function f(x) = ln(x) at a = 7. (f(1) = (x – 7)") ܫ)ܐܶ Co C1 C2 = C3 = C4 Find the interval of convergence. The series is convergent: from 2 = left end included (Y,N): to = right end included (YN):
(1 point) Determine the laylor Series of the function f(x) - 12.04 (1 - 22 centred at x = 0. A. 12.c 2n+4 n=1 od B. (-12)”z.AN n=1 C. 12nrn+3 n=1 00 12 D. 21+5 non +1 E. 12" 4n n=1
19. . 20 . 21 Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that Rn(x) → 0.] f(x) = e-3x f(x) = Σ n = 0 Find the associated radius of convergence R. R = Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that Rn(x) = 0.] f(x)...