43. k 100 k=1 (k + 1)!

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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help with 43, find if the series diverges or converges please write it on paper.

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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