1. The problem statement, all variables and given/known data What is the limit as n approaches infinity of: (4n+2^n)/(5n+3^n) AND Does the series from 1 to infinity of (1+n)/sqrt(1+n^6) converge absolutely, conditionally or diverge? 2. Relevant equations L'hopital's rule, convergence tests... 3. The attempt at a solution For the limit, I attempted to use l'hopital's rule but was left stuck with a 2^n*ln2 at the top and a 3^n*ln3 at the bottom. For the series question, I had no idea which test to use :S Any help would be greatly appreciated!