lim x mendekati 2, (x² - 5x + 6) sin(x-2) –-–––––––———— = (x² - x - 2)² mohon bantuanya segera, please

Bab Limit
Matematika SMA Kelas X

lim ((x² - 5x + 6) . (sin (x - 2)) / (x² - x - 2)²)
x→2
= lim ((x - 2) (x - 3) . (sin (x - 2)) / ((x - 2) (x + 1) (x - 2) (x + 1))
   x→2
= lim ((x - 3) / ((x + 1) (x + 1)))
  x→2
= (2 - 3) / ((2 + 1) (2 + 1))
= - 1/(3 . 3)
= - 1/6