$a-a^2+a^3-a^4$
$y'=\frac{x+10y}{10x+y}$
$\frac{dy}{dx}=3xy^2-2x^3y^2$
$\lim_{x\to1}\:\left(3x-1\right)^{10}$
$3x+3x^2$
$\lim_{x\to8}\left(\cos\left(\frac{1}{x}-\frac{1}{8}\right)\right)$
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