tolong dibantu yaaa........

[tex] \lim_{x \to \.0}[/tex] (2 sin 2x)/(tan 1/2 x) = 2 . 2/(1/2) = 8

semoga membantu ^^

Lim x-->0 (sin ax)/(ax) = 1

Lim x-->0 (2 sin 2x)/(tan 1/2 x)

= lim x-->0 (2 . 2x sin 2x/2x) / (1/2 x . tan 1/2 x / 1/2 x)

= lim x-->0 (4x)/(1/2 x)

= 4 × 2

= 8