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Mathematics
Problem
Determine the radius of convergence of the series
∑
n
=
0
∞
n
!
3
n
(
x
−
1
)
n
\displaystyle\sum_{n=0}^{\infty} \frac{n!}{3^{n}}(x-1)^{n}
n
=
0
∑
∞
3
n
n
!
(
x
−
1
)
n
. a)
3
3
3
b)
0
0
0
c)
∞
\infty
∞
d)
1
3
\dfrac{1}{3}
3
1
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