Question

o valor do limite (x,y) lim (2,3)

Answer 1

Resposta:

$\lim_{x,y \to \(2,3)} \frac{x^{2} y-3x^{2}-4xy+12x+4y-12 }{xy-3x-2y+6}$

$\lim_{(x,y) \to \(2,3)} \frac{x^{2}(y-3)-4x(y-3)+4(y-3) }{(x-2)(y-3)}$

$\lim_{(x,y) \to \(2,3)} \frac{(y-3)(x^{2}-4x+4) }{(x-2)(y-3)}$

$\lim_{(x,y) \to \(2,3)} \frac{(y-3)(x-2)(x-2)}{(x-2)(y-3)}$

$\lim_{(x,y)\to \(2,3)} (x-2)$

$\lim_{(x,y) \to \(2,3)} (2-2)=0$

$\lim_{x,y \to \(2,3)} \frac{x^{2} y-3x^{2}-4xy+12x+4y-12 }{xy-3x-2y+6}$=0

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