Question

Lim x -> 0 tg x - sin x per x . cos x

Answer 1

Verified answer

Bab Trigonometri
Matematika SMA Kelas X

lim      ((tan x - sin x) / (x cos x))
x→0

= lim    ((sin x / cos x - sin x) / (x cos x))
   x→0

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

= 1 . (1/cos 0 - 1) . 1/cos 0
= 1 . (1/1 - 1) . 1/1
= (1 - 1) 
= 0