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Mathematics
Problem
Determine the nature of the series
∑
n
=
1
∞
(
−
1
)
n
4
n
2
\displaystyle \sum_{n=1}^{\infty} (-1)^{n}\dfrac{4}{n^{2}}
n
=
1
∑
∞
(
−
1
)
n
n
2
4
. a) The series diverges. b) The series converges conditionally but not absolutely. c) The series converges absolutely. d) Insufficient information is given to classify the series.
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