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5. Σ (*k - 1)2 k=1

5. Σ (*k - 1)2 k=1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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help with problem 45, step by step please use the test to find out if the series diverges or converges?

the the nal ies 40-69. Choose your test Use the test of your choice to determine whether the following series converge. 3 4 - ()*+ () · ()* 40. 41. 44. Σ k2 k= 47. 55. 49. Σ k=3 58. 60. Σ(1+1) sin² k (k!)³ 52. Σ(3k)! 63. 68. * k2 + 2k + 1 Σ Σ 3k2 + 1 8 70. Σ 8 M8 M8 IM8 IM In k 2* k! kk Στ 2² 1 Σκ k=2 k? In k k² 66. Σ 100k k=2 00 (1 + + 1 ln k 1 Itpytipso > 0 3² k τα κα 1 + 43. Σ 42 Σ (1) Α.Σ. Α 2k² + k=1 + 45. Σ (*k - 1)2k k=1 Σ 50. Σ 56. 48. 1 5k - 3k 53. Σ+2* 8 1 k=1 5* – 1 - 67. k² έ Σ(1-1) 59. Σπερ k + 2 Σ Σ (171) 61. Ein k + 16. Σ 46 1.3 69. + 1! 51. παρα + 54. Σ 1 1 3.5 57. kl + p > P >0 Ink 71. ΣΤ 1 Σ Σ k=1_Vk – k + 1 k 100 (k + 1)! 2k 64. Σ' sine (7) 65. Σ Stan 5 in k k=2 k Στ 18 kll +3 11 62. Σκ-1/k k=1 + 70-77. Convergence parameter Find the values of the parameter p > 0 for which the following series converge. 5.7 4 9 16 + + 3! 2! 4! + series L 80. Two si conver a. Σ Additiona 81. Limit C Limit C 82-87. A gl determine th 00 82. Σ ΣΕ 88. Infinite 8 85. Σ denotec {αγα, a. Sho sequ ΣΙ k=1 b. Con Writ prod (for deter c. Use t
Transcribed Image Text:the the nal ies 40-69. Choose your test Use the test of your choice to determine whether the following series converge. 3 4 - ()*+ () · ()* 40. 41. 44. Σ k2 k= 47. 55. 49. Σ k=3 58. 60. Σ(1+1) sin² k (k!)³ 52. Σ(3k)! 63. 68. * k2 + 2k + 1 Σ Σ 3k2 + 1 8 70. Σ 8 M8 M8 IM8 IM In k 2* k! kk Στ 2² 1 Σκ k=2 k? In k k² 66. Σ 100k k=2 00 (1 + + 1 ln k 1 Itpytipso > 0 3² k τα κα 1 + 43. Σ 42 Σ (1) Α.Σ. Α 2k² + k=1 + 45. Σ (*k - 1)2k k=1 Σ 50. Σ 56. 48. 1 5k - 3k 53. Σ+2* 8 1 k=1 5* – 1 - 67. k² έ Σ(1-1) 59. Σπερ k + 2 Σ Σ (171) 61. Ein k + 16. Σ 46 1.3 69. + 1! 51. παρα + 54. Σ 1 1 3.5 57. kl + p > P >0 Ink 71. ΣΤ 1 Σ Σ k=1_Vk – k + 1 k 100 (k + 1)! 2k 64. Σ' sine (7) 65. Σ Stan 5 in k k=2 k Στ 18 kll +3 11 62. Σκ-1/k k=1 + 70-77. Convergence parameter Find the values of the parameter p > 0 for which the following series converge. 5.7 4 9 16 + + 3! 2! 4! + series L 80. Two si conver a. Σ Additiona 81. Limit C Limit C 82-87. A gl determine th 00 82. Σ ΣΕ 88. Infinite 8 85. Σ denotec {αγα, a. Sho sequ ΣΙ k=1 b. Con Writ prod (for deter c. Use t
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