Problem 11. (1 point) Consider the following series Σ 3n2 + 10n6 876 - 772 )....
Problem 11. PREVIEW 1 point) Consider the following series 00 312 + 10 876 - 72 ). If we were to calculate the limit L needed to run the Root Test, which of the following values would we get? A. LE B. L = C.L = 1 D. L = 10 8 E. It diverges.
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) =...
(1 point) Consider the following series 3n2 + 8n3 7n3 - 6n2 n=1 If we were to calculate the limit I needed to run the Root Test, which of the following values would we get? O A. L = 5 O B. L= O c. L = OD L= E. It diverges.
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...
n Σ 4n2 + 11n4 8n4 – 7n2 n=1 ve were to calculate the limit L needed to run the Root Test, which of the following values would we get? A. L= 4 B. L = 11 7 C. L = D. L= E. It diverges. (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....
Problem 12. (1 point) Consider the function f(0) = %,* cos(t) – 1 dt. +2 Which of the following is the Taylor Series for f(2) centred at x = 0? O (-1)" A. n1 (2n – 1)(2n); 22n-1 (-1)"(2n - 2) B. n1 22n-3 (2n)! (-1) C. n0 -22n-1 +C (2n-1)(2n)! D. (-1) 2n-2 1 (2n +1)!
(1 point) Consider the function f(x) = f* cos(t) – 1 dt. t2 Which of the following is the Taylor Series for f(x) centred at x = 0? w A. (-1)" (2n – 1)(2n)! -x2n- +C. n=0 (-1)"(2n – 2) 2n–3. B. (2n)! n=1 c. Σ (-1)" (2n + 1)! -x2n-2 n=1 D. Š (-1)" -X2n-1 (2n – 1)(2n)! n=1
(1 point) Consider the function f(x) = Es cos(t) – 1 t2 dt. Which of the following is the Taylor Series for f(x) centred at x = 0? 2n-1 Α.Σ (-1)" (2n – 1)(2n)! X +C. n=0 oo 2n-1 B. (-1)" (2n – 1)(2n)!" X n=1 (-1)" X20-2 (2n + 1)! M n=1 D. iM: (-1)"(2n – 2), 2n–3 (2n)! X n=1
f(x) = | (1 point) Consider the function cos(t) - 1 dt. Which of the following is the Taylor Series for f(x) centred at 2-07 A (-1)"(2n - 2). 2-3 (2n) B. (-1)" (2n - 1)(2n)! 2-1 + C. no ho 2n-1 (-1)" (2n - 1)(2n)! (-1)"_222 D. (2n +1)!
(1 point) Consider the function cos(t) f(x) = dt. Which of the following is the Taylor Series for f(2) centred at x = 0? O (-1)" A. 2n-1 (2n - 1)(2n)! O B. (-1)" (2n – 1)(2n)! 2n-1 +C n0 O C. (-1)" 220-2 (2n +1)! (-1)"(2n - 2) (2n)! D. n=1 2n 3