$\lim_{x\to0}\left(\left(\frac{\sqrt{3x^2+10x+8}}{\sqrt[5]{x^2+9x}}\right)\right)$

$\lim_{x\to\infty}\left(\left(\frac{5x-4}{5x+3}\right)^{5x+1}\right)$

$12x-3\ge42x+7$

$\lim_{x\to\infty}\left(ln6x-ln\left(x+6\right)\right)$

$\frac{1}{x\left(x-1\right)\left(x-2\right)}$

$5x^2-22x-8$

$\left(10abc\:+\:3d\right)\:\left(10abc\:-\:3d\right)$