Column 14 Find $\sum_{k=1}^{11} \frac{1}{k!}$ equals what.
Solve $\begin{aligned} \sum_{k=1}^{11} \frac{1}{k!}= & \sum_{k=1}^{8} \frac{1}{k!}+\frac{1}{9!}+\frac{1}{10!}+\frac{1}{11!} \\ = & 1.71827877 \cdots+\frac{1}{362880}+\frac{1}{3628800} \\ & +\frac{1}{39916800}=1.71828182 \cdots\end{aligned}$