$\lim_{x\to-\infty}\left(\frac{3x+4}{4x^3+3}\right)$
$\frac{x^3-2x^2-4}{x^3-2x}$
$2x+2x^3-5x^5$
$\frac{y}{dx}-\frac{x}{dy}=0$
$sec^2\left(2x\right)cot\left(2x\right)+tan\left(2x\right)csc^2\left(2x\right)$
$m^6y^2+m^5y^3$
$\int\frac{x-4}{x^2-x+\:2}dx$
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