Which of the series in Exercises 57–64 converge, and which diverge? Give reasons for your answers. 2"n!n! (-1)" (3n)! 57. У (2n)! 58. E n!(n + 1)!(n + 2)! n=1 n= (n!)" (n!)" 60. E(-1)". nln²) 59. n=1 (n")2 n=1 п" 61. У | 20*) п" 62. > n=1 (2")2 00 1.3 63. У · • (2n – 1) 4"2"n! n=1 1:3. ...•(2n – 1) 64. E [2•4....•(2n)](3" + 1) n=1
Which of the series in Exercises 57–64 converge, and which diverge? Give reasons for your answers. 2"n!n! (-1)" (3n)! 57. У (2n)! 58. E n!(n + 1)!(n + 2)! n=1 n= (n!)" (n!)" 60. E(-1)". nln²) 59. n=1 (n")2 n=1 п" 61. У | 20*) п" 62. > n=1 (2")2 00 1.3 63. У · • (2n – 1) 4"2"n! n=1 1:3. ...•(2n – 1) 64. E [2•4....•(2n)](3" + 1) n=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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![Which of the series in Exercises 57–64 converge, and which diverge?
Give reasons for your answers.
2"n!n!
(-1)" (3n)!
57. У
(2n)!
58. E
n!(n + 1)!(n + 2)!
n=1
n=
(n!)"
(n!)"
60. E(-1)".
nln²)
59.
n=1 (n")2
n=1
п"
61. У
| 20*)
п"
62. >
n=1 (2")2
00 1.3
63. У
· • (2n – 1)
4"2"n!
n=1
1:3. ...•(2n – 1)
64. E
[2•4....•(2n)](3" + 1)
n=1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57c651b3-929b-43a5-b026-b96693e39729%2F9709329b-c04f-4328-935f-cc79e3b8535b%2Fvswwt8a.png&w=3840&q=75)
Transcribed Image Text:Which of the series in Exercises 57–64 converge, and which diverge?
Give reasons for your answers.
2"n!n!
(-1)" (3n)!
57. У
(2n)!
58. E
n!(n + 1)!(n + 2)!
n=1
n=
(n!)"
(n!)"
60. E(-1)".
nln²)
59.
n=1 (n")2
n=1
п"
61. У
| 20*)
п"
62. >
n=1 (2")2
00 1.3
63. У
· • (2n – 1)
4"2"n!
n=1
1:3. ...•(2n – 1)
64. E
[2•4....•(2n)](3" + 1)
n=1
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