problem is: An = ( (e^2n)/(n^2 +3n - 1) )

my question is: Can i decide what number this problem is converging to by dividing the top and bottom of this equation by the largest n in the denominator? By doing that, what does this determine? just a guess?

Also, I'm unsure how to convert the natural log to something I can work with.

could i do this first --> 2n ln(e) --> 2n (1) --> so 2n?

this problem diverges, btw.

-thanks for any help.