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Mathematics
Problem
Consider the power series
∑
n
=
1
∞
(
x
−
2
)
n
n
3
\displaystyle \sum_{n=1}^{\infty} \dfrac{(x-2)^{n}}{n^{3}}
n
=
1
∑
∞
n
3
(
x
−
2
)
n
. Determine the radius of convergence of the series. a)
3
3
3
b)
1
1
1
c) The series converges for all real
x
x
x
d)
2
2
2
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