$\lim x\to0\frac{\sin\left(5x\right)}{\tan\left(2x\right)}$

$\lim_{x\to\infty}\left(\frac{15x^2}{e^{7x}}\right)$

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

$\frac{6x^5+4x^3-3}{2x^2+4x+5}$

$\lim_{x\to1}\left(\left(x-1\right)^{\log\left(x\right)}\right)$

$\left(3xy^2+\frac{y}{6}\right)\left(3xy^2-\frac{y}{6}\right)$

$x^{3}+2x^{2}-5x-6$