\begin{definition}[Definition:Foiaș Constant/First]
Let:
:$x_{n+1} = \left({1 + \dfrac 1 {x_n} }\right)^{x_n}$
for $n = 1, 2, 3, \ldots$
The '''first Foiaș constant''' is the limit of $x_n$ as $n \to \infty$.
\end{definition}