Let $\lambda, a_0, b_0, a_1, b_1, a_2, b_2, \dots \in \mathbb{R}$ each be a D993: Real number such that
| (i) | \begin{equation} \lim_{n \to \infty} a_n = 0 \end{equation} |
| (ii) | \begin{equation} \lim_{n \to \infty} b_n = \infty \end{equation} |
| (iii) | \begin{equation} \lim_{n \to \infty} a_n b_n = \lambda \end{equation} |
Then
\begin{equation}
\lim_{n \to \infty} (1 + a_n)^{b_n} = e^{\lambda}
\end{equation}