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Mathematics
Problem
For the series
∑
n
=
1
∞
(
x
+
2
)
n
3
n
n
\displaystyle\sum_{n=1}^{\infty} \dfrac{(x+2)^{n}}{3^{\,n}\,n}
n
=
1
∑
∞
3
n
n
(
x
+
2
)
n
, determine the interval of convergence. a)
(
−
5
,
1
]
(-5,\,1]
(
−
5
,
1
]
b)
(
−
5
,
1
)
(-5,\,1)
(
−
5
,
1
)
c)
[
−
5
,
1
)
[-5,\,1)
[
−
5
,
1
)
d)
[
−
5
,
1
]
[-5,\,1]
[
−
5
,
1
]
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