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Mathematics
Problem
Consider the power series
g
(
x
)
=
∑
n
=
1
∞
n
2
(
x
−
1
)
n
g(x)=\displaystyle \sum_{n=1}^{\infty} n^{2}(x-1)^{n}
g
(
x
)
=
n
=
1
∑
∞
n
2
(
x
−
1
)
n
. Determine the radius of convergence of the power series for
g
′
′
(
x
)
g''(x)
g
′′
(
x
)
.
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