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nth term test

limnn!1000n=?\displaystyle\lim_{n\to\infty}\frac{n!}{{{1000}^{n}}}=?
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Based on your answer, what does the nthn^{\text{th}} term test say about SS?
S=n=0n!1000nS=\displaystyle\sum\limits_{n=0}^{\infty }{\frac{n!}{{{1000}^{n}}}}
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