1. The problem statement, all variables and given/known data For f(x,y) = (2x - y^2)/(2x^2 + y), what is the limit as (x,y)->(0,0)? 2. Relevant equations 3. The attempt at a solution From this image, it seems that the limit would be non-existent since on one side of the sheet, it goes up and up to infinity whereas from the other side, it plunges down to negative infinity. How can I show that the limit is DNE analytically?