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point) Consider a function f(x) that has a Taylor Series centred at x = 5 given...
(1 point) Consider a function f(x) that has a Taylor Series centred at x = -3...
(1 point) Consider a function f(x) that has a Taylor Series centred at x = -3 given by an(x + 3)" n=0 If the radius of convergence for this Taylor series is R = 4, then what can we say about the radius of convergence of the Power Series Š an -(x + 3)" ? no n=0 A. R= 2 4 OB.R = 6 OC. R = 4 OD. R = 24 O E. R= 8 F. It is impossible...
(1 point) Consider a function f(x) that has a Taylor Series centred at x = 1...
(1 point) Consider a function f(x) that has a Taylor Series centred at x = 1 given by Žar(2 – 1)" n0 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 an (2 – 1)"? hins A. R= 2 5 OB. R=4 OC. R=2 OD. R=1 O ER= 10 OF. It is impossible to know what R is given this information.
(1 point) Consider a function f(x) that has a Taylor Series centred at x = 1...
(1 point) Consider a function f(x) that has a Taylor Series centred at x = 1 given by Žar(2 – 1)" n0 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 an (2 – 1)"? hins A. R= 2 5 OB. R=4 OC. R=2 OD. R=1 O ER= 10 OF. It is impossible to know what R is given this information.
Problem 13. (1 point) Consider a function f(x) that has a Taylor Series centred at 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...
Problem 13. (1 point) Consider a function f(x) that has a Taylor Series centred at x...
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...
(1 point) Consider a function f(x) that has a Taylor Series centred at z = 1...
(1 point) Consider a function f(x) that has a Taylor Series centred at z = 1 given by 00 Ż an(z - 1)" D If the radius of convergence for this Taylor series is R-4, then what can we say about the radius of convergence of the Power Series (x - 1)"? 0720 O AR 6 B. R=24 OC. R-2 OD. R = 8 O ER=4 OF. It is impossible to know what R is given this information
(1 point) Consider the function f(x) = f* cos(t) – 1 dt. t2 Which of the...
(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
(5 pts) Consider the function f(x) = 8e7x. We want to find the Taylor series of...
(5 pts) Consider the function f(x) = 8e7x. We want to find the Taylor series of f(x) at x = -5. (a) The nth derivative of f(x) is f(n)(x) = At r = -5, we get f(n)(-5) = (c) The Taylor series at r = -5 is +00 T(x) = { (3+5)" n=0 = (d) To find the radius of convergence, we use the ratio test. an+1 L= lim n+too an and so its radius of convergence is R= |x...
(1 point) Consider the function cos(t) f(x) = dt. Which of the following is the Taylor...
(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
(1 point) Consider the function f(x) = Es cos(t) – 1 t2 dt. Which of the...
(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
(1 point) Consider a function f(x) that has a Taylor Series centred at x = -3 given by an(x + 3)" n=0 If the radius of convergence for this Taylor series is R = 4, then what can we say about the radius of convergence of the Power Series Š an -(x + 3)" ? no n=0 A. R= 2 4 OB.R = 6 OC. R = 4 OD. R = 24 O E. R= 8 F. It is impossible...
(1 point) Consider a function f(x) that has a Taylor Series centred at x = 1 given by Žar(2 – 1)" n0 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 an (2 – 1)"? hins A. R= 2 5 OB. R=4 OC. R=2 OD. R=1 O ER= 10 OF. It is impossible to know what R is given this information.
(1 point) Consider a function f(x) that has a Taylor Series centred at x = 1 given by Žar(2 – 1)" n0 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 an (2 – 1)"? hins A. R= 2 5 OB. R=4 OC. R=2 OD. R=1 O ER= 10 OF. It is impossible to know what R is given this information.
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...
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...
(1 point) Consider a function f(x) that has a Taylor Series centred at z = 1 given by 00 Ż an(z - 1)" D If the radius of convergence for this Taylor series is R-4, then what can we say about the radius of convergence of the Power Series (x - 1)"? 0720 O AR 6 B. R=24 OC. R-2 OD. R = 8 O ER=4 OF. It is impossible to know what R is given this information
(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
(5 pts) Consider the function f(x) = 8e7x. We want to find the Taylor series of f(x) at x = -5. (a) The nth derivative of f(x) is f(n)(x) = At r = -5, we get f(n)(-5) = (c) The Taylor series at r = -5 is +00 T(x) = { (3+5)" n=0 = (d) To find the radius of convergence, we use the ratio test. an+1 L= lim n+too an and so its radius of convergence is R= |x...
(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
(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
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