$\lim_{x\to\infty}\left(\frac{\ln\left(n\right)}{n}\right)$

$187\cdot3$

$\frac{2}{x^2-4}+\frac{x-1}{x-2}=0$

$\frac{x^2}{y}\cdot\sqrt{\frac{x}{4y}\sqrt{\frac{y}{2x}}}$

$\int x^2\left(x-2\right)dx$

$\lim_{x\to0}\left(\frac{\cos\left(x\right)-1}{x^2-x}\right)$

$\int\frac{-1}{x^2\left(x-1\right)}dx$