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.
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?