2. 4. 6. . (2n) n! n = 1 Identify a, 2n! n! 2.4 6 (2n) n! (2n)! n! (2n)! 2 4· 6 • . . · . (2n) Evaluate the following limit. n + 1 lim n - 00 a n+ 1 1, the series is divergent Since lim n - 00 an
2. 4. 6. . (2n) n! n = 1 Identify a, 2n! n! 2.4 6 (2n) n! (2n)! n! (2n)! 2 4· 6 • . . · . (2n) Evaluate the following limit. n + 1 lim n - 00 a n+ 1 1, the series is divergent Since lim n - 00 an
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.
2 4 6
(2n)
n!
n = 1
Identify a,
2n!
n!
2 4 6 . . · (2n)
n!
(2n)!
n!
(2n)!
2-4 6 · · · · (2n)
Evaluate the following limit.
a
n+1
lim
a
an + 1
1, the series is divergent
Since lim](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee5144b1-2276-4010-857d-2387de3c8638%2F74835d40-0332-4d9a-a786-5b36a0cf2fd2%2F4j0js3i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the Ratio Test to determine whether the series is convergent or divergent.
2 4 6
(2n)
n!
n = 1
Identify a,
2n!
n!
2 4 6 . . · (2n)
n!
(2n)!
n!
(2n)!
2-4 6 · · · · (2n)
Evaluate the following limit.
a
n+1
lim
a
an + 1
1, the series is divergent
Since lim
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