Ghinashoda
√3tanxsinx = √3Sin²x/cosx =sinx√3/cosx dan 1-cosx = 2sin²(1/2)x L i m √3tanxsinx = L i m sinx√3/cosx . x . (x/2)² x⇒0 1 - cosx x⇒0 2sin²(1/2)x x (x/2)² = L i m Sinx . (x/2)² . x√3/cosx x⇒0 x sin²(1/2)x 2x²/4 = L i m 2√3/cosx x⇒0 x² = 2√3/Cos0 0² = 2√3 0 = ∞ (tak terdefinisi)
L i m √3tanxsinx = L i m sinx√3/cosx . x . (x/2)²
x⇒0 1 - cosx x⇒0 2sin²(1/2)x x (x/2)²
= L i m Sinx . (x/2)² . x√3/cosx
x⇒0 x sin²(1/2)x 2x²/4
= L i m 2√3/cosx
x⇒0 x²
= 2√3/Cos0
0²
= 2√3
0
= ∞ (tak terdefinisi)