Use an appropriate test to determine whether the series converges. M8 k=1 k! 5K₂K ... Select the correct answer below and fill in the answer box to complete your choice. OA. The series is a geometric series with common ratio so the series diverges by the properties of a geometric series. OB. The Ratio Test yields r= so the series diverges by the Ratio Test. OC. The limit of the terms of the series is, so the series diverges by the Divergence Test. OD. The Ratio Test yields r = so the series converges by the Ratio Test. O E. The series is a geometric series with common ratio , so the series converges by the properties of a geometric series.
Use an appropriate test to determine whether the series converges. M8 k=1 k! 5K₂K ... Select the correct answer below and fill in the answer box to complete your choice. OA. The series is a geometric series with common ratio so the series diverges by the properties of a geometric series. OB. The Ratio Test yields r= so the series diverges by the Ratio Test. OC. The limit of the terms of the series is, so the series diverges by the Divergence Test. OD. The Ratio Test yields r = so the series converges by the Ratio Test. O E. The series is a geometric series with common ratio , so the series converges by the properties of a geometric series.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Use an appropriate test to determine whether the series converges.
M8
k=1
k!
kk
Select the correct answer below and fill in the answer box to complete your choice.
OA. The series is a geometric series with common ratio, so the series diverges by the properties of a geometric series.
so the series diverges by the Ratio Test.
OB. The Ratio Test yields r=
OC. The limit of the terms of the
series is, so the series diverges by the Divergence Test.
D. The Ratio Test yields r=
O E. The series is a geometric series with common ratio
so the series converges by the Ratio Test.
so the series converges by the properties of a geometric series.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F844281c0-c621-44a5-8564-9e61584c69dd%2F517419d8-b43c-40ae-b9f9-88adb85a7860%2F4soch4f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use an appropriate test to determine whether the series converges.
M8
k=1
k!
kk
Select the correct answer below and fill in the answer box to complete your choice.
OA. The series is a geometric series with common ratio, so the series diverges by the properties of a geometric series.
so the series diverges by the Ratio Test.
OB. The Ratio Test yields r=
OC. The limit of the terms of the
series is, so the series diverges by the Divergence Test.
D. The Ratio Test yields r=
O E. The series is a geometric series with common ratio
so the series converges by the Ratio Test.
so the series converges by the properties of a geometric series.
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