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

$\frac{2x^2+17x+16}{x+7}$

$\lim_{x\to0}\left(\frac{3x^2}{1-\cos\left(\frac{x}{2}\right)}\right)$

$-\:4x^2\:+\:8\:=\:0$

$24r^3+9r^2+27r$

$\int_{\left(-2\right)}^16x\:dx$

$8x^5-12x^3+4x^2$