Help find a limit: LIM (x ^ 2-6x + 8) / (x ^ 2-5x + 4) x → 4

Help find a limit: LIM (x ^ 2-6x + 8) / (x ^ 2-5x + 4) x → 4

x²-6x+8=(x-2)(x-4)
x²-5x+4=(x-1)(x-4)
∴(x^2-6x+8)/(x^2-5x+4)=(x-2)/(x-1)
∴lim (x^2-6x+8)/(x^2-5x+4) x→4=(4-2)/(4-1)=2/3