Question

lim x²-4x+3/x³-1 quando x tende a 1

Answer 1

$\lim_{n \to 1} \frac{x^{2} - 4x + 3}{x^{3} - 1} \\\\ \lim_{n \to 1} \frac{(x-3)(x-1)}{(x-1)(x^{2} + x + 1)} \\\\ \lim_{n \to 1} \frac{(x-3)}{(x^{2} + x + 1)} \\\\ \lim_{n \to 1} \frac{(1-3)}{(1 + 1 + 1)} \\\\ \boxed{\lim_{n \to 1} -\frac{2}{3} }$