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Mathematics
Problem
The series
∑
n
=
1
∞
(
−
1
)
n
n
n
+
1
\displaystyle\sum_{n=1}^{\infty}(-1)^n\frac{n}{n+1}
n
=
1
∑
∞
(
−
1
)
n
n
+
1
n
is alternating. Identify which convergence condition it fails to meet and explain, in one sentence, what that means for the series’ convergence.
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