nilai lim x mendekati 0 dari x sin x/1-cos x adalah?

Lim (x sin x) / (1 - cos x)
= Lim (x sin x) / (2 sin^2 1/2 x)
= Lim 1/2 . x/(sin 1/2 x) . (sin x)/(sin 1/2 x)
= 1/2 . 1/(1/2) . 1/(1/2)
= 1/2 . 2 . 2
= 1/2

Limit bentuk 0/0

lim(x->0)  (x sin x) / ( 1- cos x)
lim(x ->0)  (x . sin x ) / (2 sin² 1/2 x)

x = 0
= (x)(x)/ (2)(1/2)²(x²)
= 1/ (2)(1/4)
= 1/ (1/2)
= 2