Lim x mendekati 0 X sin4x / cos3x-cos8x

lim x.Sin 4x
x-0. ------------------------
Cos 3x -Cos 8x
lim x sin 4x
x-0 --------------------
-2 sin 11x/2 . Sin -5x/2
lim 1 .4.
x-0. -------------
-2. 11/2. -5/2
= 8/55

Lim (x sin 4x) / (cos 3x - cos 8x)
x=>0

Lim (x sin 4x) / (-2 sin (3x + 8x)/2 sin (3x - 8x)/2)
x=>0

Lim (x sin 4x) / (-2 sin (11/2)x sin (-5/2)x)
x=>0

Lim 1/(-2) . x/(sin (11/2)x) . (sin 4x)/(sin (-5/2)x)
x=>0

= -1/2 . 1/(11/2) . 4/(-5/2)

= -1/2 . 2/11 . 8/-5

= -1/11 . -8/5

= 8/55