Limit X menuju 0 2 sinx 3x/ 1 - cos 6 x

Limit X menuju 0 2 sinx 3x/ 1 – cos 6 x

$lim : x = > 0 \ frac{2sinx3x}{1 - cos6x} = frac{2sinx3x}{1 - (1 - 2sin {}^{2} 3x)} \ = frac{2sinx3x}{2sin {}^{2}3x } = frac{2sinx3x}{2sin3xsin3x} \ = frac{2}{2} times frac{sinx}{sin3x} times frac{3x}{sin3x} = 1 times frac{1}{3} times frac{3}{3} = frac{1}{3}$