Question

Limit mendekati 0 x tanx /cos 2x - cos 7x

Answer 1

Verified answer

Bab Limit
Matematika SMA Kelas XI

lim ((x tan x) / (cos 2x - cos 7x))
x→0

= lim ((x tan x) / (-2 sin ((2x + 7x)/2) . sin ((2x - 7x)/2))
  x→0

= lim ((x tan x) / (-2 sin (9x/2) . sin (-5x/2))
  x→0

= 1/(-2 . (9/2) . (-5/2))
= 1 : (45/2)
= 2/45