$\lim\:_{x\to\:\infty\:}\left(\frac{\sin\:\left(x\right)^2}{\sqrt{x}}\right)$

$\lim_{n\to\infty}\left(\left(\frac{n}{n+1}\right)^n\right)$

$cot^2x=\frac{\cos^2x}{1-sin^2x}$

$g^2-4g+4$

$\int\left(\frac{x^2}{\sqrt{\left(\left(x-\frac{1}{2}\right)^2-1\right)^3}}\right)dx$

$3x^2-34x+70\ge0$

$x\frac{dy}{dx}=6-y$