$\lim_{x\to2}\left(\frac{x-2}{x^2-5x+6}\right)$

$-x^2+12x^3-4x$

$-1001-\left(-10001\right)$

$\frac{\left(x+1\right)\left(x-3\right)}{\left(x-2\right)\left(x+5\right)}$

$\left(x+5\right)^2+\left(x-4\right)^2-2x\left(x+1\right)^2$

$46\cdot12$

$\lim_{x\to+\infty}\left(1+2x+\frac{2x^3}{\sqrt{x^4-13x^2+36}}\right)$