Practice Exercises I36. Radius and interval of convergence Determine the radius and 39. interval of comvergence of the following power series. (x- 1) k4 kl 41-46. Combining power seri 00 00 10. Σ(22)4 f(x) 1 k 0 k! r k=O to find the power series 00 00 12. k!(x- 10)* терг (centered at 0). Give the int 11. k 1 Σά)k k 0 1 41. f(3x) = (E) 2 (x - 3) 00 00 1 - 3x 14. 13. sin 2x3 k or x<1 43. h(x) k 2 k=1 1 - x k X 00 00 16. -1) 5k 4x12 45. p(x) = 15. 3 k=0 k 0 1- X (-1) Vk 47-50. Combining 18. m 11.4. 17. k 1 k 1 f(x) (2r) 00 20. 19. 2k +1 to find the power Give the interv k! k=0 k=0 47. f(3x)= rge on + 21. + 1! 2! 49. plx) = rges on (-1)'+*(x - 10)5 3 23. 22. x 4 +.. 16 k es 57, 62 k-1 + 8e inter (x- 1) 10. g power serie Σ2)4 k 0 k! fx) 1 1 to find the power series repre 00 12. Σ(x-10 ). Σά). (centered at 0). Give the inte 11 k=1 k 0 41. f(3x) 2 x-3) 1 k 14. k 1 -3x 13. sin < 1 k k 2 k 1 2x 43. h(x)= k X CO 1-x 16. 2-1) www 15 4x12 45. p(x) k 0 k-0 1 - X (-1) 00 18. .4. 47-50. Combining p 17. Vk k 1 k=1 f(x) = (2x) 00 20. 19 2 1 k! k=0 to find the power k-0 Give the interval +8 + 4! 4 + 21. . 47. f(3x) l 2! 3! 1! on 49. p(x)= 2 (-1)*= D 23. J 22. x - +... 16 + , 62 4 9 k=1
Practice Exercises I36. Radius and interval of convergence Determine the radius and 39. interval of comvergence of the following power series. (x- 1) k4 kl 41-46. Combining power seri 00 00 10. Σ(22)4 f(x) 1 k 0 k! r k=O to find the power series 00 00 12. k!(x- 10)* терг (centered at 0). Give the int 11. k 1 Σά)k k 0 1 41. f(3x) = (E) 2 (x - 3) 00 00 1 - 3x 14. 13. sin 2x3 k or x<1 43. h(x) k 2 k=1 1 - x k X 00 00 16. -1) 5k 4x12 45. p(x) = 15. 3 k=0 k 0 1- X (-1) Vk 47-50. Combining 18. m 11.4. 17. k 1 k 1 f(x) (2r) 00 20. 19. 2k +1 to find the power Give the interv k! k=0 k=0 47. f(3x)= rge on + 21. + 1! 2! 49. plx) = rges on (-1)'+*(x - 10)5 3 23. 22. x 4 +.. 16 k es 57, 62 k-1 + 8e inter (x- 1) 10. g power serie Σ2)4 k 0 k! fx) 1 1 to find the power series repre 00 12. Σ(x-10 ). Σά). (centered at 0). Give the inte 11 k=1 k 0 41. f(3x) 2 x-3) 1 k 14. k 1 -3x 13. sin < 1 k k 2 k 1 2x 43. h(x)= k X CO 1-x 16. 2-1) www 15 4x12 45. p(x) k 0 k-0 1 - X (-1) 00 18. .4. 47-50. Combining p 17. Vk k 1 k=1 f(x) = (2x) 00 20. 19 2 1 k! k=0 to find the power k-0 Give the interval +8 + 4! 4 + 21. . 47. f(3x) l 2! 3! 1! on 49. p(x)= 2 (-1)*= D 23. J 22. x - +... 16 + , 62 4 9 k=1
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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