Question

1. Berapakah nilai dari

a. -1/2
b. -1/4
c. 1/4
d. 1/2
e. 1

Answer 1

Lim x->0  2x/(2sin(x)+sin(2x))
= lim x->0  2x/(2sin(x) + 2sin(x)cos(x))
= lim x->0  2x/[2sin(x)(1+cos(x))]
= lim x->0  x/sin(x) * 1/(1+cos(x))
= lim x->0 x/sin(x) * lim x->0 1/(1+cos(x))
= 1 * 1/(1+cos(0))
= 1 * 1/(1+1)
= 1/2