Question

Limit x mendekati v/4 cos 2x per cos²x - cos x . sin x


v itu 180 kan ya kak ?

Answer 1

Limit   ( cos 2x / (cos² x - cos x sin x)
x->π/4 
..
..
= {(cos x + sin x)(cos x - sin x} / {cos x ( cos x - sin x)}
= (cos x + sin x)/ (cos x)
= 1 + tan x
= 1 + tan π/4
= 1 + 1
= 2