lim mendekati 0 tanX-sinX/X^3 =

Lim tanx - sinx / x^3
x→0

Lim tanx / x^3 - sinx / x^3
x→0

Lim 1 / x² - 1 / x²
x→0

Lim 2 / x²
x→0

= 2 / 0²

= ~

Lim (Tan x - sin x) / x^3
= Lim ((sin x)/(cos x) - sin x) / x^3 . (cos x)/(cos x)
= Lim (sin x - sin x cos x) / (x^3 cos x)
= Lim sin x (1 - cos x) / (x^3 cos x)
= Lim sin x (2 sin^2 1/2 x) / (x^3 cos x)
= Lim 2/(cos x) . (sin x)/x . (sin 1/2 x)/x . (sin 1/2 x)/x
= 2/(cos 0) . 1 . 1/2 . 1/2
= 2/1 . 1/4
= 1/2