Question

o lim x³-x² -2x / x² -3x +2 quando x tende a 2

Answer 1

$\lim_{x \to 2} \frac{x^3-x^2-2x}{x^2-3x+2} \\ \lim_{x \to 2} \frac{(x-2)(x^2+x)}{(x-2)(x-1)} \\ \lim_{x \to 2} \frac{x^2+x}{x-1} \\ \lim_{x \to \2} \frac{2^2+2}{2-1} \\ \displaystyle{\boxed{\lim_{x \to 2} 6}$