Question

lim z^3+4z^2+4z/ z^2-z-6
z -> -2

Answer 1

Неопределённость 0/0

$lim_{z to inft{-2}} frac{z^3+4z^2+4z}{z^2-z-6} = lim_{z to inft{-2}} frac{z(z+2)^2}{(z-3)(z+2)} = lim_{z to inft{-2}} frac{z(z+2)}{z-3} = \ \ = frac{-2(-2+2)}{-2-5} =0$