$\lim_{x\to\infty}\left(\frac{ln\left(2x\right)}{lnx}\right)$

$f\left(x\right)=\frac{10}{\left(-2\right)-3}$

$\left(75-13\right)-\left(1+8-5-13\right)$

$\sqrt{x}+\sqrt{2x}$

$14c-21d-30$

$\frac{8x^3+6x^2-3x+1}{2x^2-x+2}$

$sin\left(x-\frac{3\pi}{2}\right)+sin\left(\pi+x\right)$