lim x^2-4x+4/x^2+x-6

[tex] \lim_{x \to \ 2} \frac{x^{2}-4x+4}{x^{2}+x-6} \\ \lim_{x \to \ 2} \frac{(x-2)(x-2)}{(x-2)(x+3)} \\ \lim_{x \to \ 2} \frac{x-2}{x+3} \\ =\frac{2-2}{2+3} \\ =0[/tex]