Determine whether the following series converges. Justify your answer. 00 Σ k=1 5k e V5k (Type an exact answer.) 00 O A. The Integral Test yields f(x) dx = so the series converges by the Integral Test. 1 O B. The series is a p-series with p= so the series diverges by the properties of a p-series. O C. The series is a p-series with p= so the series converges by the properties of a p-series. O D. The series is a geometric series with common ratio so the series diverges by the properties of a geometric series. O E. The series is a geometric series with mmon ratio so the series converges by the properties of a geometric series. 00 OF. The Integral Test yields f(x) dx= so the series diverges by the Integral Test.
Determine whether the following series converges. Justify your answer. 00 Σ k=1 5k e V5k (Type an exact answer.) 00 O A. The Integral Test yields f(x) dx = so the series converges by the Integral Test. 1 O B. The series is a p-series with p= so the series diverges by the properties of a p-series. O C. The series is a p-series with p= so the series converges by the properties of a p-series. O D. The series is a geometric series with common ratio so the series diverges by the properties of a geometric series. O E. The series is a geometric series with mmon ratio so the series converges by the properties of a geometric series. 00 OF. The Integral Test yields f(x) dx= so the series diverges by the Integral 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
1
Σ
V5k
k=1 5k e
(Type an exact answer.)
00
O A. The Integral Test yields f(x) dx =
so the series converges by the Integral Test.
O B. The series is a p-series with p=
so the series diverges by the properties of a p-series.
O C. The series is a p-series with p=
so the series converges by the properties of a p-series.
O D. The series is a geometric series with common ratio
so the series diverges by the properties of a geometric series.
O E. The series is a geometric series with common ratio
so the series converges by the properties of a geometric series.
00
OF. The Integral Test yields f(x) dx=
so the series diverges by the Integral Test.
2°C
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