$\frac{1}{0!}+\frac{1}{1!}+\frac{1}{2!}+\cdots+\frac{1}{n!}+\cdots $

无穷级数 \begin{equation} \label{eq:2.13.39} \frac{1}{0!}+\frac{1}{1!}+\frac{1}{2!}+\cdots+\frac{1}{n!}+\cdots \end{equation} 令$a_n=\frac{1}{0!}+\cdots+\frac{1}{n!}(n\geq 0)$.我们知道，\begin{equation}\label{e

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