- #1
americanforest
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Question: Test for convergence:
[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?
[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?