Question

LIM COS 2X-1 / X^2
X-0

Answer 1

Verified answer

Limit trigonometri bentuk 0/0

lim( x- >0) ( cos 2x - 1) /x² =

ingat  cos 2x = 1 - 2 sin² x
.

lim (x ->0)  cos 2x - 1 / x² =
= lim (x->0) (1 - 2 sin² x - 1) /(x²)
= lim(x->0) - 2 sin² x / x²
= lim(x->0)  - 2 sin x /x  . sin x / x
(ingat limit x-> 0  sin x / x = 1)
= - 2 (1) . (1)
= -2