$\lim_{x\to\infty}\left(\frac{3\cdot x^2+4\cdot x^3+3^{x+2}}{x\cdot2^x+2\cdot3^x}\right)$

$\lim_{x\to\infty}\left(-x^5-2x^3-\frac{1}{2}x+6\right)$

$11x^2-98x-120$

$f\left(x\right)=7x^{-2}$

$\int\frac{x^2+5x+4}{\left(x+1\right)^3}dx$

$\left(3x^2-6y^3\right)\left(3x^2+6y^3\right)$

$\frac{5\tan^2\left(x\right)}{sec^2\left(x\right)}$