Question

lim (sin(x^2-x)/(x^2-1), x ->1

Answer 1

$\lim_{x \to 1} \frac{sin( x^{2} -x)}{ x^{2} -1} = \frac{0}{0}$ Caz de nedeterminare: Folosim L'Hospital

Avem dupa derivare: $\lim_{x \to 1} \frac{(2x-1)cosx}{2x} = \frac{0}{2}=0$