lute and conditional convergence Determin ies converge absolutely or conditionally, or c 3 1 3 k 46. Σ 1) k k 49. 55. k=1 Vk ∞ 1) tank 52. (-1)k e-k (−1)k cos k k k=1 k=1 an (−1)k tan¯¹ k k 47. Σ k=1 50. Σ k=1 53. Σ k=1 56. 8 k=1 Explorations in why or why not Determine whether the foll are true and give

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45-56. Absolute and conditional convergence Determine v
following series converge absolutely or conditionally, or dive
(−1)k
45. Σ
k=1 k²/3
48. Σ
(3)
8
54.
k=1
46. Σ
k=2 Ink
(−1)k
51. Σ(-1)*tan'k 52. Σ(-1)*e*
k=1
(-1)k
k=1_Vk
49. Σ
k=
55.
cos k
k³
8
Σ
k=1
(-1)* tan`' k
k
47. Σ
53.
(-1
50. Συν
56.
k=1 k
(-
k=1V
(
2k
k=
8
ΣΕ
(κ
Further Explorations
57. Explain why or why not Determine whether the follow
ments are true and give
Transcribed Image Text:45-56. Absolute and conditional convergence Determine v following series converge absolutely or conditionally, or dive (−1)k 45. Σ k=1 k²/3 48. Σ (3) 8 54. k=1 46. Σ k=2 Ink (−1)k 51. Σ(-1)*tan'k 52. Σ(-1)*e* k=1 (-1)k k=1_Vk 49. Σ k= 55. cos k k³ 8 Σ k=1 (-1)* tan`' k k 47. Σ 53. (-1 50. Συν 56. k=1 k (- k=1V ( 2k k= 8 ΣΕ (κ Further Explorations 57. Explain why or why not Determine whether the follow ments are true and give
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