I need some general guidelines on how to simplify factorials. I'm in Calculus III(adsbygoogle = window.adsbygoogle || []).push({});

and the Prof. and unfoutunately our textbook has glossed over how to do this.

All the factorials we are dealing with now are in relation to sequences and series.

so i'm dealing with expressions that look like this:

[tex]\sum_{n=1}^\infty\frac{n!}{1000^nn^{1000}}[/tex]

[tex]\sum_{n=1}^\infty\frac{n!}{1000^nn^{1000}}[/tex]

If i were to use the ratio test to see if the above series converged or diverged. How would i simplify the factorials?

I know how to apply the ratio test. I need to know the general rule(s) for simplifying factorials.

If anyone knows of a link of or a free e-book or anything that would help me out i'd really appreciate it.

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# How Do I Simplify Factorials?

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