I have to prove that the sequence a(n)=(n^3-n +1)/(2n+4) diverges to infinity.
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?