Tolong jawab soal limit dibawah

Bab Limit
Matematika SMA Kelas XI

Lim (x² sin² 2x)/(tan x - sin x)
x→0
= lim (x² sin² 2x)/(sin x/cos x - sin x)
...x→0

= lim (x² sin² 2x)/((sin x - sin x cos x)/cos x)
...x→0

= lim (x² . sin² 2x . cos x)/(sin x (1 - cos x))
...x→0

= lim (x . sin² 2x . cos x)/(1 - cos x) . ((1 + cos x)/(1 + cos x))
...x→0

= lim (x . sin² 2x . cos x (1 + cos x))/(1 - cos² x)
...x→0

= lim (x . (2 sin x cos x)² . cos x . (1 + cos x)) / sin² x
...x→0

= 0 . (2 . cos 0)² . cos 0 . (1 + cos 0)
= 0