$\lim_{x\to0}\left(\frac{x^4}{e^{3x}}\right)$

$\sin\left(x\right)\cot\left(x\right)=\frac{\sqrt{3}}{2}$

$\sqrt{\frac{x+1}{x}}$

$\lim_{x\to0}\left(\frac{1-\cos\left(x\right)}{4\sin\left(x\right)}\right)$

$\left(4^3\right)^{-2}$

$\int\frac{2x^2-5x+3}{\left(x-2\right)^3}dx$

$3x^2+4x+6=0$