Prove $$\lim_{(x,y)\to (0,0)}\frac{x^2 y^2}{x^2+y^2}=0$$ with epsilon-delta
I tried by doing: $$|f(x,y)-0|=|\frac{x^2y^2}{x^2+y^2}|< |\frac{(x^2+y^2)y^2}{x^2+y^2}|=|y^2|$$ but I'm unsure how to follow.
2026-04-01 02:05:48.1775009148
Prove $\lim_{(x,y)\to (0,0)}\frac{x^2 y^2}{x^2+y^2}=0$ with epsilon-delta
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