1. The problem statement, all variables and given/known data Show if the function g(x,y) = (xy)1/3 is continuous at the point (0,0) 2. Relevant equations 3. The attempt at a solution I'm a bit confused. When I take the limit as (x,y)->(0,0) I get that L = 0, and the function is equal to 0 at (0,0), but when I plot the function in maple, it seems as if there is a discontinuity along the line x =0 and y = 0. I am ultimately trying to show if the function is differentiable at (0,0). Any help?