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

$\frac{sin\left(x\right)}{1+\cos\left(x\right)}+\frac{\cos\left(x\right)}{sin\left(x\right)}=\frac{1}{sin\left(x\right)}$

$\int\ln\left(\frac{x+1}{x}\right)dx$

$2^5\:-\left(-3\right)^2$

$-2\left(-1\right)^2-\left(-2\right)\left(-1\right)^3$

$\frac{6x^5-4x^3+3x^2+4}{2x^2-1}$

$\left(8x\right)^{\frac{1}{3}}\left(2x^{\frac{1}{2}}\right)$