$\displaystyle\lim_{n\to\infty}\frac{n!}{{{1000}^{n}}}=?$
[[☃ 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]]
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