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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text:Determine whether the following series converges. Justify your answer.
00
Σ
(- 15)*
k!
k= 1
Select the correct choice below and fill in the answer box to complete your choice.
(Type an exact answer.)
O A. The series is a geometric series with common ratio
so the series diverges by the properties of a geometric series.
O B. The series is a geometric series with common ratio
so the series converges by the properties of a geometric series.
O C. The limit of the terms of the series is
so the series diverges by the Divergence Test.
O D. The Ratio Test yields r=
so the series diverges by the Ratio Test.
O E. The Ratio Test yields r=
so the series converges by the Ratio Test.
O F. The Root Test yields p=
so the series diverges by the Root Test.
2°C
Cloudy
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