Show (x^3+2x)/(2x+1) < x^2 as x --> infinite 1. The problem statement, all variables and given/known data Show (x^3+2x)/(2x+1) < x^2 as x --> infinite 2. Relevant equations This is not a formal proof. I just need to reduce the left side of the inequality to the point it is fairly obvious that it is less than x^2 as x-->infinite. 3. The attempt at a solution so far I turned it into (x^3-1)/(2x+1) + 1 but it is still not broken down enough to be obvious. I'm not sure what to do next.