1. The problem statement, all variables and given/known data lim (x,y) -> (0,0) xy/sqrt(x^2+y^2) = 0 3. The attempt at a solution my understanding of my actual goal here is kind of poor given ε>0 there exist ∂>0 s.t. 0 < sqrt(x^2 + y^2) < ∂ then 0<|f(x,y) - L| < ε | xy/sqrt(x^2 + y^2) - 0 | < ε (xy * sqrt(x^2 + y^2)) / (x^2 + y^2) < ε |xy|/|(x^2 + y^2)| * sqrt(x^2 + y^2) < ε so some number always less than one(i think?) times ∂ < ε. I can't say i know where im going with this at all. oh god please help.