$\lim_{x\to-1}\left(\frac{2}{\left(3x\left(x+1\right)^2\right)}\right)$

$\lim_{x\to-3}\left(\frac{x^2+6x+9}{-18-3x+x^2}\right)$

$\frac{dy}{dx}\left(\sqrt{x+1}=4\right)$

$\lim_{x\to\infty}\left(\frac{3x^3+4x-7}{2x^2+5x-2}\right)$

$8cos5xsec3x$

$\lim_{x\to\infty}\left(\frac{5-\sqrt{x}}{1+4\sqrt{x}}\right)$

$6.6437-4.6691$