Use the Ratio Test to determine whether the series is convergent or divergent. Identify lal. 2"n! (5n + 3)! 0 Σ Σ(-1)". n = 1 2"n! 8 13 18. (5n+3) (2^n)! 8 13 18 2n (5n + 3)! 2^n (5n+ 3)! Since lim Evaluate the following limit. an +1 n→∞ lim n→∞ 2"n! 8 13 18..... (5n + 3) n+1 an (5n+3) n 1, the series is convergent

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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Use the Ratio Test to determine whether the series is convergent or divergent.
Identify lal.
2"n!
(5n + 3)!
0
Σ
Σ(-1)".
n = 1
2n!
8 13 18. (5n+3)
(2^n)!
8 13 18
2n
(5n + 3)!
2n
(5n+ 3)!
Since lim
Evaluate the following limit.
an +1
n→ ∞o
lim
n→∞
2"n!
8 13 18..... (5n + 3)
n+1
an
(5n+3)
n
1, the series is convergent
Transcribed Image Text:Use the Ratio Test to determine whether the series is convergent or divergent. Identify lal. 2"n! (5n + 3)! 0 Σ Σ(-1)". n = 1 2n! 8 13 18. (5n+3) (2^n)! 8 13 18 2n (5n + 3)! 2n (5n+ 3)! Since lim Evaluate the following limit. an +1 n→ ∞o lim n→∞ 2"n! 8 13 18..... (5n + 3) n+1 an (5n+3) n 1, the series is convergent
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