hi

how can I evaluate this limit, using the epsilon delta way if possible. I read my textbook about the method but didn't really understand.

lim

(x,y) -> (0,0) of [x-xy+3]/[x^2y+5xy-y^3]

plugging in the point you can see its discontinuous.

so if I move along the x axis in the end I will get x-3/0 and along the y axis I will get -3/y^3, in the end both of those will be -3/0. If I move along the line y = x I also get the same answer. So I can say the limit does nit exist? Now how can I show this using the epsilon delta method for limits?