$\lim_{x\to\infty}\left(ln\left(2x\right)-ln\left(x^2\right)\right)$

$\frac{3x^4+2x^2-5x+3}{x-3}$

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

$-50+-1-120+-2-20$

$\left(\frac{6}{7}\right)^{-2}\cdot\left(\frac{4x}{6y}\right)^{-2}$

$\lim_{x\to0}\left(\frac{2x^2-3x}{9x^2+2}\right)$

$\frac{dy}{dx}\left(x^2+6xy+y-9\right)$