9. n=1 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 73E
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In Exercises 5 – 14, determine the convergence of the given
series using the Ratio Test. If the Ratio Test is inconclusive,
state so and determine convergence with another test.
2η
5. Σ n!
n=0
6. Σ
n=0
1 Σ
n=0
9 Σ
n=1
5 tn
8. Σ ζη + ηλ
n=1
11.
n=1
1
10. Σ. 3m - 7
3η3 +7
n=1
53n
40
13. Σ
n=1
n!10m
(2n)!
14. Σ
n=1
n
12. Ση
n=1
10.5"
ζη - 3
η·
2.4.6.8.2n
3.6.9 12...3n
n!
5 10 15 (5n)
Transcribed Image Text:In Exercises 5 – 14, determine the convergence of the given series using the Ratio Test. If the Ratio Test is inconclusive, state so and determine convergence with another test. 2η 5. Σ n! n=0 6. Σ n=0 1 Σ n=0 9 Σ n=1 5 tn 8. Σ ζη + ηλ n=1 11. n=1 1 10. Σ. 3m - 7 3η3 +7 n=1 53n 40 13. Σ n=1 n!10m (2n)! 14. Σ n=1 n 12. Ση n=1 10.5" ζη - 3 η· 2.4.6.8.2n 3.6.9 12...3n n! 5 10 15 (5n)
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