Find the limit of the function f(x, y)= sin (2(x² + y²))/2(x² + y²) as (x, y) → (0, 0) . Assume that polynomials, exponentials, logarithmic, and trigonometric functions are continuous. [Hint: Lim t→0 sint/t = 1.]
Lim (x, y) → (0, 0) sin (2(x² + y²))/2(x² + y²) =