Question

$\lim_{x\to \ 1$ x^2+x-2 / x^2-2x+1

Answer 1

$\lim_{x \to1 \\ \frac{x^2+x-2}{x^2-2x-1} = \\ \\ \lim_{x \to1 \frac{(x-1)(x+2)}{x^2-2x-1} = \\ \\ \lim_{x \to1 \frac{(1-1)(1+2)}{1^2-2(1)-1} = \\ \\ \lim_{x \to1 \frac{-3}{2}$