Determine whether the following series converges. Justify your answer. (- 15)* 00 Σ 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.
Determine whether the following series converges. Justify your answer. (- 15)* 00 Σ 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.
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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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.
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