Determine whether the following series converges. Justify your answer. 8 5k Σ (19)*.. 1+ k=1 a is real OA. The Root Test yields p= so the series converges by the Root Test. B. 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 properties of a p-series. C. The series is a p-series with p = OD. The series is a p-series with p = so the series converges by the properties of a p-series. example Textbook MacBook Air tv N A Clear all W Check answ
Determine whether the following series converges. Justify your answer. 8 5k Σ (19)*.. 1+ k=1 a is real OA. The Root Test yields p= so the series converges by the Root Test. B. 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 properties of a p-series. C. The series is a p-series with p = OD. The series is a p-series with p = so the series converges by the properties of a p-series. example Textbook MacBook Air tv N A Clear all W Check answ
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.
5k
$(19)*..
Σ 1+
8
k=1
a is real
OA. The Root Test yields p=
so the series converges by the Root Test.
B. 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 properties of a p-series.
C. The series is a p-series with p =
OD. The series is a p-series with p =
so the series converges by the properties of a p-series.
example
Textbook
MacBook Air
tv N
A
Clear all
W
Check answ
 alt="OC. The series is a p-series with p =
so the series diverges by the properties of a p-series.
OD. The series is a p-series with p =
so the series converges by the properties of a p-series.
O E. The series is a geometric series with common ratio, so the series converges by the properties of a geometric series.
OF. The limit of the terms of the series is
so the series diverges by the Divergence Test.
example Textbook
F6
MacBook Air
A
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F8
F9
A
Clear all
F10
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Check answ
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Transcribed Image Text:OC. The series is a p-series with p =
so the series diverges by the properties of a p-series.
OD. The series is a p-series with p =
so the series converges by the properties of a p-series.
O E. The series is a geometric series with common ratio, so the series converges by the properties of a geometric series.
OF. The limit of the terms of the series is
so the series diverges by the Divergence Test.
example Textbook
F6
MacBook Air
A
F7
tv
HIZ
F8
F9
A
Clear all
F10
W
î
Check answ
E
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