(a) Prove the convergence or divergence of each of the following series: 1! 2! 3! n! (i) + + +. + + 2+1 2² +1 23 +1 2n + 1 1 1 + 1 3 + (−1)n-1 2n 1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 10E
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Question
(a) Prove the convergence or divergence of each of the
following series:
1!
2!
3!
n!
(i)
+
+
+. +
+
2+1
2² +1
23 +1
2n + 1
1
1
+
1
3
+
(−1)n-1
2n - 1
Transcribed Image Text:(a) Prove the convergence or divergence of each of the following series: 1! 2! 3! n! (i) + + +. + + 2+1 2² +1 23 +1 2n + 1 1 1 + 1 3 + (−1)n-1 2n - 1
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