- #1
Roni1985
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- 0
Homework Statement
determine the radius of convergence of the given power series
[tex]\sum[/tex][tex]^{inf}_{n=1}[/tex][tex]\frac{n!x^n}{n^n}[/tex]
Homework Equations
The Attempt at a Solution
I did the ratio test
then I had to take the 'ln'
but, my answer is this
|e|<1 for the series to converge.
It never happens but according to the answers the radius is 'e'.