64. 8

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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Question 64 and 66
arcsin
n=1
00
(-1)"- arctan(1/n)
52. 2
n2
n=1
62. 1-0.1+0.01 – 0.001 + ·.. +(-1)"10-"+ ...
1
63. 1
1!
-
+(-1)"-
|
...
2!
3!
+ ...
n!
In Problems 64-92, determine whether the series converges.
00
8"
64.
65.
n!
4n +3
n=
n=1
(-2)"-1
00
(-1)"-1
66.
67. E
n2
2n + 1
n=1
n=1
00
5 + e"
00
n+ 2
68. 2
3"
69.
n2 - 1
n=2
n=1
00
00
n2"
(0.1)"
70. 2
71. E
n!
3n
n=1
n=0
00
,2
1+3"
00
72. 2
73.
n2 + 1
4"
n=1
n=1
00
(2n)!
75. 2
(n!)2
00
(п - 1)!
74.
n2
n=1
n=1
00
Transcribed Image Text:arcsin n=1 00 (-1)"- arctan(1/n) 52. 2 n2 n=1 62. 1-0.1+0.01 – 0.001 + ·.. +(-1)"10-"+ ... 1 63. 1 1! - +(-1)"- | ... 2! 3! + ... n! In Problems 64-92, determine whether the series converges. 00 8" 64. 65. n! 4n +3 n= n=1 (-2)"-1 00 (-1)"-1 66. 67. E n2 2n + 1 n=1 n=1 00 5 + e" 00 n+ 2 68. 2 3" 69. n2 - 1 n=2 n=1 00 00 n2" (0.1)" 70. 2 71. E n! 3n n=1 n=0 00 ,2 1+3" 00 72. 2 73. n2 + 1 4" n=1 n=1 00 (2n)! 75. 2 (n!)2 00 (п - 1)! 74. n2 n=1 n=1 00
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