$\lim_{x\to0}\left(\left(e^{x^2}-2\right)\cdot x^{-1}\right)$

$\sin\left(x+\frac{\pi}{3}\right)=\frac{1}{\sqrt{2}}$

$5x<-10$

$s=\frac{7}{8\pi}\sin\left(8t\right)+\frac{7}{9\pi}\cos\left(9t\right)$

$\int\frac{\left(\sqrt{4x^2-1}\right)}{5x}dx$

$\lim_{x\to\frac{\pi}{2}}\left(\frac{5-5sin\left(\theta\right)}{7+7cos\left(\theta\right)}\right)$

$\lim_{x\to0}\left(3x^2\:-\:4x\:+5\right)$