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Mathematics
Problem
Let
S
(
x
)
=
∑
n
=
1
∞
(
−
1
)
n
x
n
n
S(x)=\displaystyle \sum_{n=1}^{\infty} \dfrac{(-1)^{n}x^{\!n}}{\sqrt{n}}
S
(
x
)
=
n
=
1
∑
∞
n
(
−
1
)
n
x
n
. Which of the following gives the interval of convergence of
S
(
x
)
S(x)
S
(
x
)
? 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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