lim (x,y) -> (0,0) for:
(x^3 - y^3) / (x2 + y2)
The Attempt at a Solution
I am checking all the possible lines to check what the limit would be if it did exist:
y = mx, plug this into the equation above
(x^3 - (mx)^3) / (x^2 + (mx)^2)
x(1 - m^3) / (1 + m^2)
so, the limit of this when it approaches 0 would be 0 if it exists. Now how do I find out that it does exist?
I was told to use the squeeze theorem, but I don't know how to find the bounds.