$\lim_{x\to0}\left(\frac{ax^2+bx^3}{ax^2+dx^3}\right)$

$3\left(x-1\right)+2=4x+1$

$9x^2+144x+64$

$6\:cos\left(x\right)sin^2\left(x\right)-3\cos^3\left(x\right)$

$5x+3y+3=2x+4y+14$

$\frac{3w^2+10w-27}{\left(w+2\right)^2}\le2$

$\lim_{x\to2}\left(\frac{x^2+x-6}{x+2}\right)$