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Mathematics
Problem
Determine the radius of convergence of the power series
∑
n
=
1
∞
n
2
x
n
\displaystyle\sum_{n=1}^{\infty} n^{2}\,x^{n}
n
=
1
∑
∞
n
2
x
n
. a)
R
=
∞
R=\infty
R
=
∞
b)
R
=
1
R=1
R
=
1
c)
R
=
1
e
2
R=\dfrac{1}{e^{2}}
R
=
e
2
1
d)
R
=
0
R=0
R
=
0
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