Convergence of a factorial function

Thread starter Badmouton
Start date Sep 23, 2012
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Convergence Factorial Function

Sep 23, 2012

Badmouton

The sum of "(n+3)!/(3n+2)!" with n=1 to n=inf. How do I find if it converges or diverges by using one of the tests(ratio, roots series, divergence, etc)?

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Sep 23, 2012

jbunniii

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Well, you have a ratio, so the ratio test seems worth trying. Did you try it?

Sep 23, 2012

Badmouton

I did, and it worked

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