Help with series question:
use the root test to see whether or not the following is divergent, convergent or the series may be divergent, conditionally convergent, or absolutely convergent

lim n-- inf ((-4n+9)^2n / (-5n -9)^n)^(1/n)

I got -inf as an answer but.. it says my answer is wrong when I say it diverges to -ing and that means the Root test says the series is convergent absolutely

Question

Help with series question: 
use the root test to see whether or not the following is divergent, convergent or the series may be divergent, conditionally convergent, or absolutely convergent

lim n--> inf ((-4n+9)^2n / (-5n -9)^n)^(1/n)

I got -inf as an answer but.. it says my answer is wrong when I say it diverges to -ing and that means the Root test  says the series is convergent absolutely