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Mathematics
Problem
Determine the function represented by the series
∑
n
=
1
∞
(
x
−
2
)
n
n
\displaystyle \sum_{n=1}^{\infty} \frac{(x-2)^{n}}{n}
n
=
1
∑
∞
n
(
x
−
2
)
n
for
∣
x
−
2
∣
<
1
|x-2|<1
∣
x
−
2∣
<
1
.
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