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Mathematics
Problem
Let
a
(
≠
0
)
a\,(\neq 0)
a
(
=
0
)
be a constant. For the power series
∑
n
=
1
∞
n
a
n
(
x
−
3
)
n
\displaystyle \sum_{n=1}^{\infty} n a^{\,n}(x-3)^n
n
=
1
∑
∞
n
a
n
(
x
−
3
)
n
, determine the radius of convergence in terms of
a
a
a
.
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