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Mathematics
Problem
Consider the power series
∑
n
=
1
∞
n
4
n
(
x
−
2
)
n
.
\sum_{n=1}^{\infty} \frac{n}{4^{n}}\,(x-2)^{n}.
n
=
1
∑
∞
4
n
n
(
x
−
2
)
n
.
Determine its radius of convergence.
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