ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F9990 on D169: Napier's constant
F9990
Formulation 3
Let $!$ be the D6: Natural number factorial function.
The Napier's constant is the D993: Real number \begin{equation} e : = \frac{1}{1} + \frac{1}{1} + \frac{1}{1 \cdot 2} + \frac{1}{1 \cdot 2 \cdot 3} + \frac{1}{1 \cdot 2 \cdot 3 \cdot 4} + \cdots \end{equation}