Lim x→0. (Tan x - sin x)/x cos x?

(tanx - sinx) / xcosx
= (sinx/cosx - sinx) / xcosx
= (sinx/cosx - sinxcosx/cosx) / xcosx
= ((sinx - sinxcosx)/cosx) / xcosx
= (sinx(1 - cosx)) / xcos²x
= (1 - cosx) / (cos²x)
= (1 - cos0) / (cos²0)
= (1 - 1) / 1²
= 0/1
= 0

maaf bila salah

Lim (Tan x - sin x)/(x cos x)
= Lim (Tan x - sin x)/x . 1/(cos x)
= Lim [(Tan x)/x - (sin x)/x] . 1/cos x
= (1 - 1) . 1/cos 0
= 0 . 1/1
= 0