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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 72E

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