$$\begin{array}{l}
\mbox{Depends on what n is.}\\
\mbox{If $n = 0$, then $n^\infty = 0$}\\
\mbox{If $n = 1$, then $n^\infty = 1$}\\
\mbox{If n equals anything else though, I believe the answer would be infinity.}
\end{array}$$
I'll just add to Ninja's answer.
I think that a minus number raised to infinity would be undefined.
A positive number between 0 and 1 raised to infinity would be 0
A positive number greater than 1 raised to infinity would be infinity
Here is a graph.
$$\mbox{This\;is\;just\;an\;example.}\\\\n^\infty\\\\=2^\infty\\\\=\infty$$
Great answer, Melody. I didn't know that. This is my basic knowledge.
But, thanks, Melody!
(Learned something new!)