9) Option (B)
10)Option (E)
Problem 9. (1 point) Suppose that the function f(x) is equal to the convergent powers series...
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
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) Determine the Taylor Series of the function f(x) = - 8x2 (1 − x)2 centred at x = 0. Α. (-8)" x2η. n=1 ΧΟ 8 Β. r743 η + 1 n=0 0 c. Σ 8" x2η. n=1 ΧΟ 8x2n+2 n=1 Ε. Σ 8nx+1. n=1
(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!
7+1 (1 point) Suppose that the function f(x) is equal to the convergent powers series (7) 4n+3 n! n0 Which of the following is equal to the value of f(19) (7)? O A. 720 B 75 19! 4! 720 C. 19! O D.O. 78 E
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 13. (1 point) Consider a function f(x) that has a Taylor Series centred at x = -1 given by 00 3 4. (x + 1)" HO If the radius of convergence for this Taylor series is R = 2, then what can we say about the radius of convergence of the Power Series Σ ax (x + 1)"? ns 2 IOARE B. R = 10 C. R=4 D. R=1 E. R= 2 F. It is impossible to know what...
point) Consider a function f(x) that has a Taylor Series centred at x = 5 given by ſan(x – 5)" n=0 he radius of convergence for this Taylor series is R= 4, then what can we say about the radius of convergence of the Power Series an ( 5)"? nons A. R= 20 B.R= 8 C. R=4 D. R= E. R= 2 F. It is impossible to know what R is given this information. point) Consider the function f(x) =...
Problem 13. (1 point) Consider a function f(x) that has a Taylor Series centred at x = - 1 given by È anco an(x + 1)" no If the radius of convergence for this Taylor series is R= 8, then what can we say about the radius of convergence of the Power Series (x + 1)"? O AR= 8 5 OB. R=4 O C. R= 16 ODR = 40 O E. R=8 OF. It is impossible to know what R...