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Mathematics
Problem
Consider the series
∑
n
=
0
∞
3
n
n
!
(
x
−
2
)
n
\displaystyle \sum_{n=0}^{\infty}\frac{3^{\,n}}{n!}(x-2)^n
n
=
0
∑
∞
n
!
3
n
(
x
−
2
)
n
. Determine its radius of convergence.
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