Use the Ratio Test to determine whether the series is convergent or divergent. 00 6 12 18. • . (6n) n! Identify an (6n)! n = 1 n! . 6 · 12 · 18 · . . . . • (6n) n (6n)! n 6 · 12 · 18 · 6n! n! n! (6n) Evaluate the following limit. lim n → ∞ a 'n +1 Since lim an+1 1, the series is divergent n → ∞
Use the Ratio Test to determine whether the series is convergent or divergent. 00 6 12 18. • . (6n) n! Identify an (6n)! n = 1 n! . 6 · 12 · 18 · . . . . • (6n) n (6n)! n 6 · 12 · 18 · 6n! n! n! (6n) Evaluate the following limit. lim n → ∞ a 'n +1 Since lim an+1 1, the series is divergent n → ∞
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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Question
![Use the Ratio Test to determine whether the series is convergent or divergent.
00
6 12 18.
•
.
(6n)
n!
Identify an
(6n)!
n = 1
n!
.
6 · 12 · 18 · . . . .
• (6n)
n
(6n)!
n
6 · 12 · 18 ·
6n!
n!
n!
(6n)
Evaluate the following limit.
lim
n → ∞
a
'n +1
Since lim
an+1
1, the series is divergent
n → ∞](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbba7f514-2c91-4585-b277-764d3d0d203a%2Ff1d1d491-62f6-4b60-b0d8-3c658c74f816%2Fyx738uo_processed.png&w=3840&q=75)
Transcribed Image Text:Use the Ratio Test to determine whether the series is convergent or divergent.
00
6 12 18.
•
.
(6n)
n!
Identify an
(6n)!
n = 1
n!
.
6 · 12 · 18 · . . . .
• (6n)
n
(6n)!
n
6 · 12 · 18 ·
6n!
n!
n!
(6n)
Evaluate the following limit.
lim
n → ∞
a
'n +1
Since lim
an+1
1, the series is divergent
n → ∞
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