$\frac{3x^3-2x^2-7x-2}{x-2}$

$\cos^2a+\cos^2b=1$

$\lim_{x\to0}\left(\frac{sin^2\left(2x\right)}{x^2}\right)$

$\lim_{x\to\frac{\pi}{2}}\left(\frac{1+9secx}{1+9tanx}\right)$

$\lim_{x\to5}\:\left(x-4\right)^{\frac{5}{4x-20}}$

$1100-0110-1$

$\lim_{x\to2}\left(\frac{x^2-6x+8}{x-4}\right)$