$\displaystyle\lim_{n\to\infty}\frac{n!}{{{1000}^{n}}}=?$ [[☃ radio 1]] **Based on your answer, what does the $n^{\text{th}}$ term test say about $S$?** $S=\displaystyle\sum\limits_{n=0}^{\infty }{\frac{n!}{{{1000}^{n}}}}$ [[☃ radio 3]]