$\lim_{a\to w}\left(2\sin\frac{a}{2}\cos a\right)$

$\left(5x^2\right)\left(3x+4x^3-2x^2\right)$

$5^3x^1y\cdot6x^2y^2$

$y=4u^2+3u-2$

$\frac{dy}{dx}=60x+20xy$

$\left(2x^2y-7\right)\left(2x^2y+3\right)$

$\lim_{x\to0}\left(\frac{1}{x}\right)\cdot\lim\:_{x\to\:0}\left(\ln\left(\cos\left(x\right)\right)\right)$