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Mathematics
Problem
Explain why the series
∑
n
=
1
∞
(
−
1
)
n
n
\displaystyle\sum_{n=1}^{\infty}\frac{(-1)^n}{n}
n
=
1
∑
∞
n
(
−
1
)
n
cannot be declared divergent solely from examining its individual terms.
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