Consider the convergent alternating series $\displaystyle{\sum_{n=1}^{\infty} \frac{(-1)^n}{n!} = L}$. Let $S_n$ be the $n$th partial sum of this series. Compute $S_n$ and $S_{n+1}$ and use these values to find bounds on the sum of the series. If $n = 4$, then $S_n =$ and $S_{n+1} =$ and therefore This interval estimate for the value of the series has error $|S_n - L| <$ .