Find lim (x,y) (0,0) sin(y)/x = ______?

Does not exist

None of these

The given limit is lim (x,y) → (0,0) sin(y)/x.

As $x$ approaches 0, the denominator becomes 0, causing an undefined form.

Along different paths (e.g., setting $y = 0$ or $x = 0$ ), the limit gives different results, meaning the limit does not exist.