(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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]

2. Relevant equations

3. 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'.

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# Homework Help: Power Series- radius of convergence

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