$\lim_{x\to3}\left(\frac{-2x^2+11x-15}{x-3}\right)$

$6x-7<5x$

$\frac{3}{5}m^2-mn+\frac{1}{10}m^2-\frac{1}{3}mn+2mn-2m^2$

$\lim_{x\to0}\left(\frac{\left(8\:sin\:x\right)}{x}\right)$

$-90\cdot40$

$\lim_{x\to\infty}\left(\frac{5x^6+3x^3-2x}{x^7}\right)$

$g\left(x\right)=\left(\sqrt{x}+x^2\right)\left(x^3+x+\sqrt{2}\right)$