1. The problem statement, all variables and given/known data Not really a problem, more of a general question. When exactly can you use the Divergence test. Does it only work on both series and sequences? 2. Relevant equations The series Diverges if lim ƩAn ≠ 0 3. The attempt at a solution If you take the lim of the series n^3/2n^3 ≠ 0 there it diverges. Now, look at the series (n+1)/n(n+2). You have to use the integral test to show convergence or divergence for this. After doing it, you get the series Diverges. Why can't i just use l'hospitals rule on the 2nd series, and get 1/2n, then take the limit. And it should converge to zero. Is it because i used l'hospitals rule therefore i can not use the divergence test anymore?