$\lim_{x\to\infty}\left(\frac{e^{5x}}{e^{cosx}}\right)$

$xy'\left(-1+x\right)y=xy^2$

$\frac{34a^{18}}{72a^{15}}$

$15x^2=20$

$\int\frac{\left(4x+3\right)}{x^2-x-6}dx$

$\frac{cot\left(x\right)}{cos\left(x\right)}=csc\left(x\right)$

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