On the coefficients in an asymptotic expansion of $(1+1/x{)}^x$

T. M. Dunster, Jessica M. Perez

The function $g(x)=(1+1/x{)}^x$ has the well-known limit $e$ as $x\to \infty$. The coefficients $c_j$ in an asymptotic expansion for $g(x)$ are considered. A simple rec…