Question: Test for convergence:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\sum\frac{n!}{10^n}[/tex]

(the sum is from 1 to infinity)

I tried using

[tex]\frac{n^n}{10^n}\geq\frac{n!}{10^n}\geq\frac{n}{10^n}[/tex]

and showing that either the first one was convergent or the last one was divergent using various tests but didn't get anywhere.

Any hints?

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# Homework Help: Convergence of Infinite Series

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