5+1 (1 point) Suppose that the function f(x) is equal to the convergent powers series (x...
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. (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....
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=...
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 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!
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) 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. 2. (1 point) Consider the following convergent series: Suppose that you want to approximate the value of this series by computing a partial sum, then bounding the error using the integral remainder estimate. In order to bound the value of the series between two numbers which are no more than 10 apart, what is the fewest number of terms of the series you would need? Fewest number of terms is 585 (1 point) Consider the following series: le(n Use...
(1 point) Select the FIRST correct reason why the given series converges. A. Convergent geometric series B. Convergent p series C. Comparison (or Limit Comparison) with a geometric or p series D. Alternating Series Test E. None of the above 1. n² + √n n4 – 4 sin?(2n) n2 E 4 (n + 1)(9)" n=1 2n + 2 cos(NT) 16. In(3n)
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) =...