LIM COS 2X-1 / X^2 X-0
Matematika
RAJArozi
Pertanyaan
LIM COS 2X-1 / X^2
X-0
X-0
1 Jawaban
-
1. Jawaban DB45
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