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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

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
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
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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