Compute {(x,y)→ (0,0)} lim (x^2y^2)/(x^2+y^2)


Question: Compute

lim(x,y)(0,0)x2y2x2+y2\underset{\left( x,y \right)\to \left( 0,0 \right)}{\mathop{\lim }}\,\frac{{{x}^{2}}{{y}^{2}}}{{{x}^{2}}+{{y}^{2}}}

Solution:

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