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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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![To test the series
n=1
so we could also investigate convergence using other methods.)
Find the value of
-6n
e for convergence, you can use the Integral Test. (This is also a geometric series,
1
∞
-6x
e dx =
What does this value tell you about the convergence of the series
∞
n=1
e-6n,
the series definitely diverges
the series definitely converges
O the series might converge or diverge: we need more information](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fce55c4ac-5dab-46e8-a2b2-74b4fa76a511%2Fd74fad0e-92c0-4649-b06c-7dcd1695cd75%2Fzgk70qb_processed.png&w=3840&q=75)
Transcribed Image Text:To test the series
n=1
so we could also investigate convergence using other methods.)
Find the value of
-6n
e for convergence, you can use the Integral Test. (This is also a geometric series,
1
∞
-6x
e dx =
What does this value tell you about the convergence of the series
∞
n=1
e-6n,
the series definitely diverges
the series definitely converges
O the series might converge or diverge: we need more information
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