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