3. (6 points) Let $f(x, y) = \frac{x^2y^2}{x^2 + y^2}$. Evaluate the limit $\lim_{(x,y)\to(0,0)} f(x, y)$ or determine that it does not exist.
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Since the function f(z,y) does not exist, we cannot evaluate the limit. Therefore, the limit does not exist. Show more…
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