$\lim_{x\to\infty}\left(\frac{1}{9x^2-3x-2}\right)$

$\lim_{x\to0}\left(\frac{x-\sin\left(x\right)}{\cos\left(x\right)+x^2+1}\right)$

$x^2+5x+7$

$\frac{dy}{dx}=\frac{x^2+4}{y^2-5}$

$y'+\cot\left(x\right)y=2x\csc\left(x\right)$

$\frac{v^{11}-1}{v-1}$