Find the limit of x^2/(x^2+y^2) as X and Y approaches 0. Hint the answer is not 1,.5,0?

The answers I come up with are your hints!

As x approaches 0, the numerator becomes zero. So 0 is one answer.
As y approaches 0, the numerator and denominator become equal - so 1 is another answer.
As they approach zero together, the numerator is always half the denominator, so .5 is the third answer.

0,1&.5!

The trick is that since there is more than one value, the limit doesnt exist.