Question

Помогите решить lim(x→1)( x^3 +2x^2 -2x-1)/(x^2-1)

Answer 1

$lim x->1 frac{x^3+2x^2-2x-1}{x^2-1}=frac{(x-1)(x^2+3x+1)}{(x-1)(x+1)}=frac{x^2+3x+1}{x+1}=frac{5}{2}$