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lim (sec² x - cos x)/3x²
x->0
= lim sec² x/3x² - lim -cos x/3x²
x->0 x->0
= 1/3 + (lim cos x / 6) ⇒ hasil turunan 2 kali
x->0
= 1/3 + 1/6
= 3/6
= 1/2
x³ x³ x³Cosx
= Sinx(1-Cosx)
x³Cosx
= Sinx(2Sin² (1/2)x)
x x²Cosx
L i m Tanx - Sinx = L i m Sinx(2Sin²(1/2)X) . {(1/2)x}²
x⇒0 x³Cosx x⇒0 x³Cosx {(1/2)x}²
= L i m Sinx . 2Sin²(1/2)x . (1/4)x²
x⇒0 x {(1/2)x}² x²
= 1(2)(1/4)
= 2/4
= 1/2