Question

o limite (x,y) lim (2, -3)

Answer 1

Resposta:

$\lim_{(x,y) \to \ (2,-3)} \frac{14y^{2}-6y+21xy-9x }{9x^{2}-4y^{2}  }$

$\lim_{(x,y)\to \ (2,-3)} \frac{2y(7y-3)+3x(7y-3)}{(3x+2y)(3x-2y)}$

$\lim_{(x,y)\to \ (2,-3)}\frac{(3x+2y)(7y-3)}{(3x+2y)(3x-2y)}$

$\lim_{(x,y) \to \ (2,-3)} \frac{7y-3}{3x-2y}$

$\lim_{(x,y) \to \ (2,-3)} \frac{7.(-3)-3}{3.2-2(-3)}=-2$

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