Question

$lim_{x to 0} frac{x^3-x^2+2x}{x^2+x}$

Answer 1

$lim_{x to 0} frac{x^3-x^2+2x}{x^2+x}= lim_{x to 0} frac{x(x^2-x+2)}{x(x+1)}= lim_{x to 0} frac{x^2-x+2}{x+1}=\\= frac{0^2-0+2}{0+1}= frac{2}{1}=2$