L’Hôpital’s rule practice question 2

What do $\log(x^{2})$ and $x - 1$ each tend to as $x \to 1$? Check that before deciding whether l’Hôpital’s rule is allowed.

Substituting $x = 1$ gives $\tfrac{0}{0}$. Differentiate numerator and denominator separately and take the limit again.