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