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Mathematics
Problem
Determine whether the series
∑
n
=
1
∞
n
+
(
−
1
)
n
n
\displaystyle\sum_{n=1}^{\infty}\frac{n+(-1)^{n}}{n}
n
=
1
∑
∞
n
n
+
(
−
1
)
n
can possibly converge, based solely on the value of
lim
n
→
∞
n
+
(
−
1
)
n
n
\displaystyle\lim_{n\to\infty}\frac{n+(-1)^{n}}{n}
n
→
∞
lim
n
n
+
(
−
1
)
n
. State "converge possible" or "converge impossible."
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