$\lim_{x\to\infty}\left(\frac{\left(x+1\right)\ln\left(x+1\right)}{x\ln\left(x+2\right)}\right)^4$

$-2x^{-3}y^{-4}\left(x^{-1}y^{-3}+2x^{-2}y^4\right)$

$\left(a^5+7\right)\left(a^2-3\right)$

$\frac{2^3+x^3}{2+x}$

$1-\csc\left(x\right)^2+\csc\left(x\right)^4$

$3x-1>0$

$e\left(-\ln\:\left|x\right|\right)$