$\lim_{x\to\infty}\left(\frac{ln\left(x+1\right)-ln\left(x^2+2x+2\right)}{2\sqrt{x+1}}\right)$

$15.2-87.23$

$-7\cdot\left(2-4^2\right)$

$\log_a\left(vx\right)$

$\frac{2^3\cdot5^4\cdot2^{-1}\cdot5^2}{5^3\cdot2^{-4}\cdot5^3\cdot2^4}$

$3\tan\left(x-15\right)=4$

$\frac{d}{ds}s=\sqrt{t}-\sqrt[3]{t}$