$\lim_{x\to\infty}\left(\frac{e^x\cdot sen\left(x\right)-x}{3x^2+x^5}\right)$

$\frac{dy}{dx}=-\frac{2xy+1}{x^2+y}$

$\frac{8x^2+16x-6}{2x+3}$

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

$a^2-24x^2a^3$

$\lim_{x\to\infty}\:\left(\frac{x^3}{10}\right)\left(\frac{2}{x}-sin\left(\frac{2}{x}\right)\right)$

$5x+2x$