Lim x kendekati 0 1- cos x / xtg 1/2x

LImit bentuk 0/0
cos x = 1 - 2 sin² ¹/₂ x
2 sin² ¹/₂ x = 1 - cosx

lim(x-> 0)  (1 - cos x) / (x . tan ¹/₂ x)
= lim(x->0) ( 2 sin² ¹/₂ x) / (x. tan ¹/₂ x) = 2 (¹/₂)² /(1)(¹/₂)
= 2(¹/₄)  /(¹/₂)
=  (¹/₂) / (¹/₂)
= 1