1. The problem statement, all variables and given/known data I have to prove that the sequence a(n)=(n^3-n +1)/(2n+4) diverges to infinity. 2. Relevant equations 3. The attempt at a solution Observe that n^3-n +1 > (1/2)n^3 and 2n+4≤4n in n≥2 I am now stuck on how to proceed. I am confused on opposite inequalities for the numerator and denom. Can you direct as to how I'm to proceed? Thanks!