1. The problem statement, all variables and given/known data For a problem I came down to having to show that the limit of (-2xy)/sqrt(x^2+y^2) does not exist as (x,y)->(0,0) 2. Relevant equations 3. The attempt at a solution I tried taking iterated limits and showing they are not equal but I still get 0. I also tried approaching (0,0) from various directions i.e. setting x=y and x=y^2 but that has not helped either. Can anyone help me out? Thanks.