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## Homework Statement

Find the interval of convergence of the series.. Sum from n=1 to infinity of ((-5^n)(x^n))/(n^(1/10)).

Find the radius of convergence.

## Homework Equations

Ratio Test -> Lim abs( (An+1)/(An)) as n goes to infinity

## The Attempt at a Solution

I used the ratio test to get to --> Lim as x goes to infinity of -5x(n/(n+1))^(1/10). I'm lost after this point. My notes say to use l'hopitals rule for infinity/infinity, which leaves me with the absolute value of -5x. plug that into the -b<-5x<b . How do you determine the value of b?

Thanks