1. The problem statement, all variables and given/known data Prove that the limit as x->inifinity [x^2 - 2x] / [x^3 - 5] = 0 2. Relevant equations The general procedure that we have to use to come up with this proof is: "For all epsilon>0, there exists some N>0, such that for all x, if x>N then this implies that | [[x^2 - 2x] / [x^3 - 5] - 0] | < epsilon". N and epsilon are just variables. 3. The attempt at a solution I simplified the "| [[x^2 - 2x] / [x^3 - 5] - 0] |" down to "| [[x^2 - 2x] / [x^3 - 5] |" I'm allowed to manipulate this equation as long as it is preserved. Also I can make helper assumptions as to the value of "N" as long as I account for them in my proof. I've spent hours staring at this question but I cant figure out how to proceed from here Any help would be greatly appreciated!