1. Lim sin 2x tan 3x per x sin x 2. Lim sin 4x - sin x per 3x Mohon bantuannya

Bab Limit
Matematika SMA Kelas XI

1] lim (sin 2x tan 3x)/(x . sin x)
   x→0

= lim ((sin x)/x . (tan 3x)/sin x)
  x→0

= 1 . 3
= 3

2] lim ((sin 4x - sin x)/3x)
   x→0

= lim ((2 . cos ((4x + x)/2) . sin ((4x - x)/2))/3x
  x→0

= lim ((2 . cos (5x/2) . sin (3x/2))/3x
  x→0

= lim ((2 sin (3x/2)/3x . cos (5x/2)))
  x→0

= ((2 . 3/2)/3) . cos (5 . 0)/2
= 1 . 1
= 1