Solve $\lim\limits_{x \to 1} \frac{2x-2}{(x^3-x)^2}$ without L'Hôpital's rule Find limit without L'Hôpital's rule: $\lim\limits_{x \to 1} \frac{2x-2}{(x^3-x)^2}$
I'm learning limits and I'm stuck with this example. So far, I tried modify denominator but I have no luck with it.

HINT : factor the polynom : $x^3-x = x(x+1)(x-1)$
