Lim x mendekati 0. Cos4x-1/x tan 2x =

Bab Limit
Matematika SMA Kelas XI

Lim ((cos 4x - 1)/ (x tan 2x))
x→0

= lim (1 - 2 sin² 2x - 1) / (x tan 2x)
   x→0

= lim (-2 sin² 2x) / (x tan 2x)
   x→0

= lim ((-2) . ((sin 2x)/x) . (sin 2x/tan 2x))
   x→0

= -2 . 2 . 1
= -4