\section*{Problem 9}

Find all positive integers \(\mathrm{n}\) satisfying \((1+1 / \mathrm{n})^{\mathrm{n}+1}=(1+1 / 1998)^{1998}\).


\section*{Solution}

Answer: no solutions.

We have \((1+1 / n)^{n+1}>e>(1+1 / n)^{n}\).

