$\lim_{x\to\infty }\left(\frac{\ln\left(x\right)^2}{3x}\right)$

$\lim_{x\to\infty}\left(\frac{x+2}{x-1}\right)^x$

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

$\lim_{x\to\infty}\left(\frac{\left(ln\left(x\right)\right)^2}{5x}\right)$

$\lim_{x\to\infty}\left(\frac{\left(ln\left(x\right)\right)^2}{3x}\right)$

$\lim_{x\to-\infty}\left(x^3e^x\right)$

$\lim_{x\to0}\left(\sin\left(x\right)\ln\left(x\right)\right)$

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