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Mathematics
Problem
Determine whether the series
∑
n
=
3
∞
(
−
1
)
n
n
−
2
\displaystyle\sum_{n=3}^{\infty}\frac{(-1)^{n}}{n-2}
n
=
3
∑
∞
n
−
2
(
−
1
)
n
converges or diverges. Give a brief justification.
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