$\lim_{x\to\infty}\left(\left(e^{\left(\frac{1}{x}\right)-1}\right)lnx\right)$

$x^3:x$

$\frac{x-4x+3}{x-1}$

$\lim_{\theta\to0}\left(\frac{\cot\left(\pi\theta\right)\sen\theta}{2\sec\theta}\right)$

$3xdx=4dy$

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

$2\sin^3\left(x\right)-\sin\left(x\right)=0$