Question

calcular o limite se existir: lim 3x^4+x^3-5x^2+2x/x^2-x quando o x tende a 0

Answer 1

$\lim_{x \to 0} \frac{3x^4+x^3-5x^2+2x}{x^2-x} \\ \lim_{x \to 0} \frac{x(3x^3+x^2-5x+2)}{x(x-1)} \\ \\ \lim_{x \to 0} \frac{3x^3+x^2-5x+2}{x-1} \\ \\ \lim_{x \to 0} \frac{3.0^3+0^2-5.0+2}{0-1} \\ \\ \lim_{x \to 0} \frac{2}{-1} \\ \\ \lim_{x \to 0} -2$