1.
Let Un=n!(n+2)!U_n = \frac{n!}{(n+2)!} where n∈Nn \in \mathbb{N}. If Sr=∑n=1rUnS_r = \sum_{n=1}^{r} U_n, then lim⁡r→∞Sr\displaystyle \lim_{r \to \infty} S_r equals