trying to find divergence or convergence of:
the series from n=2 to infinity of (1)/((n^p)-(n^q)) (0<q<p) using limit comparison test
Using limit comparison I have
i used 1/n^p
used reciprical and multiplied by original
(1)/((n^p)-(n^q)) x (n^p/1)
simplified and ended up with this and cannot figure out what to do or if it is even right
(1)/(1-(1/n^p)) found the limit to be 1 then is it divergent by nth term test?