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Mathematics
Problem
Determine the interval of convergence of the series
∑
n
=
1
∞
n
2
(
x
+
1
)
n
\displaystyle\sum_{n=1}^{\infty} n^{2}(x+1)^{n}
n
=
1
∑
∞
n
2
(
x
+
1
)
n
. a)
(
−
1
,
1
)
(-1,1)
(
−
1
,
1
)
b)
(
−
2
,
0
)
(-2,0)
(
−
2
,
0
)
c)
[
−
2
,
0
]
[-2,0]
[
−
2
,
0
]
d)
(
−
2
,
0
]
(-2,0]
(
−
2
,
0
]
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