Find the positive values of p for which the series converges. (enter your answer using interval notation.) ∞ n (1 + n2)p n = 1

We will study the convergence of the series 

For  the series has constant general term which is divergent. 
For  the series diverges since its general term goes to infinity as n goes to infinity. 
For , the series converges since it is equivalent to the Riemann series.