Nilai lim ( 1/x-2) - (4/x^2-4) X-> 2

tanda kurung kurang lengkap, klo bertanya pada mesin hitung jawabannya pasti berbeda.... dianggap gini
lim x→2 [(1/(x - 2)) - (4/(x² - 4))]
= lim x→2 [(1/(x - 2)) - (4/((x - 2)(x + 2)))]
samakn pnybutnya
= lim x→2 [((x + 2) - 4)/((x - 2)(x + 2)))]
= lim x→2 [(x - 2)/((x - 2)(x + 2))]
= lim x→2 [1/(x + 2)]
= 1/(2 + 2)
= 1/4