1. The problem statement, all variables and given/known data Lim (x,y,)--> (1, 3) of (x^2-1)/(xy-y) 2. Relevant equations I know that the answer is 2/3 according to wolfram alpha multivariable limit calculator. 3. The attempt at a solution So this is my first time doing multivariable limits, I've studied the following: 1) Direct substitution : Well, this doesn't work in our case as we get 0/0. 2) Try to go along different paths: say y=x and so forth. This also doesn't work. If we make y=x then we get 0/0. And I also don't feel good about trying to prove that the limit exists with this path idea. 3) The 'squeeze' idea: I'm not really sure how to apply this to this particular problem. Is this what I need to do? Is there anything else that I am not seeing?