$\lim_{x\to0}\:\frac{x\left(4+sinx\right)}{x^2+6}$

$\frac{dy}{dx}+1=2x^2$

$f\left(w\right)=\frac{w}{\left(w+3\right)^2}$

$\frac{x-1}{x-1}+\frac{3x+6}{2x+1}=3$

$\frac{1}{48}\int dx$

$\lim_{x\to1}\left(\frac{\sqrt[3]{x}-\sqrt{x}}{\sqrt{x}-\sqrt[6]{x}}\right)$

$\frac{2}{x}-\frac{x+1}{5}=-\frac{4}{5}$