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Mathematics
Problem
The alternating harmonic series
∑
n
=
1
∞
(
−
1
)
n
+
1
n
\sum_{n=1}^{\infty}\dfrac{(-1)^{n+1}}{n}
∑
n
=
1
∞
n
(
−
1
)
n
+
1
converges but is not absolutely convergent. Describe what can happen to its sum if its terms are rearranged arbitrarily.
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