Hello im studying calculus at the university and I dont know how to solve the following exercise: Study the continuity of the next function: $f(x,y) = \begin{cases} \frac{x^2-xy}{x+y}&\text{for } x+y\ne0\\ 0 &\text{for }(x,y) =(0,0). \end{cases}$
I've tried to resolve it with iterated limits and directional limits, but im sure if its correct.