Diketahui f(x) = x^2 - 3x + 2, g(x) = (x^2-3)/3. Lim x→-2 f(x+1)/g(x-1) =.....

f(x+1) = (x+1)² - 3(x+1) + 2
= x² + 2x + 1 - 3x - 3 + 2
= x² - x
g(x-1) = ((x-1)² - 3)/3 = (x² - 2x + 1 - 3)/3
= (x² - 2x - 2)/3
langsung masukan -2
= (-2)² - (-2) / (-2² -2(-2) - 2)/3
= 6 / (6/3)
= 6 × 3/6
= 3