$\lim_{x\to0}\left(\frac{5\sin\left(4t^5\right)}{-4t}\right)$

$\lim_{x\to0}\left(1+x\right)^{\frac{1}{\sqrt{x}}}$

$\left(19\right)-\left(-19\right)$

$\lim_{x\to\infty}\left(\frac{ln\left(5x+2\right)}{\ln\left(10x+8\right)+6}\right)$

$\log\frac{1}{10}=-1$

$\int2x\left(x-2\right)^4dx$

$\lim_{x\to125}\left(\frac{125-25\sqrt[3]{x}}{2x\left(x-125\right)}\right)$