Question

$lim_{x to2} frac{ x^{2} -4}{ x^{3}-8 }$

Answer 1

$lim x->2 frac{x^2-4}{x^3-8}\ lim x->2 frac{(x-2)(x+2)}{(x-2)(x^2+2x+4)}\ lim x->2 frac{x+2}{x^2+2x+4} = frac{4}{12}=frac{1}{3}$