  The function $g(x)= (1+1/x)^{x}$ has the well-known limit $e$ as
$x\rightarrow{\infty}$. The coefficients $c_{j}$ in an asymptotic expansion for
$g(x)$ are considered. A simple recursion formula is derived, and then using
Cauchy's integral formula the coefficients are approximated for large $j$. From
this it is shown that $|c_{j}|\rightarrow{1}$ as $j\rightarrow{\infty}$.
