$\frac{x^3-3x-4x-12}{x^2-4}$
$8\sqrt{2}-4\sqrt{2}$
$-\frac{1}{2}\ln\left(\cos\left(2x\right)\right)$
$2x^2-17x+15$
$6x^3+7x^2-3x$
$\lim_{x\to\infty}\left(\sqrt{x-2}\right)-\sqrt{x-5}$
$\frac{x^3+1}{x+1}+x-1$
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