Lim (x→0) (cos x tan x)/(cot x sin x) = ….

Lim (x→0) (cos x tan x)/(cot x sin x) = ….

Jawaban:

Tan x = sin x / cos x
Cot x = cos x / sin x

Lim (x→0) {cos x tan x)/(cot x sin x}
=Lim (x→0) {(cos x (sin x/cos x))/((cos x / sin x) sin x)}
= Lim (x→0) {sin x / cos x}
= Lim (x→0) {tan x}
= 0

 

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