the limit will depend on : if 0 < |x|, |y| < 1, the limit is 0. if |x| = |y| = 1, the limit is 1. if |x| > 1 or |y| > 1, then the limit is infinity. if x = y = 0, the limit obviously doesn't exist.
to avoid any possible confusion: Sampras' question is kind of off-topic and not related to JoAdams5000's question.