$\lim_{x\to\infty}\left(\sqrt{x^2-8x+5}-\sqrt{x^2+4x-4}\right)$

$\lim\:_{x\to\:-3}\left(\frac{x^3+9x}{\:x^3+2x^2-5x-6}\right)$

$-8tan\left(x\right)-8=0$

$y=\left(3x^2+5x-1\right)^{\frac{1}{2}}$

$\frac{d}{dx}\left(3cos\left(n\theta\right)\right)$

$5-\left(-4-2\right)$

$\frac{-14x^8y^4}{49^3y^5}$