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Mathematics
Problem
Determine the interval of convergence for the power series
∑
n
=
0
∞
n
2
(
x
−
1
)
n
4
n
\displaystyle \sum_{n=0}^{\infty}\frac{n^{2}(x-1)^{n}}{4^{\,n}}
n
=
0
∑
∞
4
n
n
2
(
x
−
1
)
n
. State clearly which endpoints, if any, are included in the interval.
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