lim (x^3-3x^2+4)/(x^2-4x+4) (0/0)
= lim (3x^2-6x)/(2x-4) (0/0)
= lim (6x-6)/2 = 3.
若不用洛必达法则,得
lim (x^3-3x^2+4)/(x^2-4x+4)
= lim (x+1)(x-2)^2/(x-2)^2
= lim(x+1)=3.