Mathematics

Problem

Let

a = \lim_{x \to 0} \frac{\ln(\cos 2x)}{3x^2}

b = \lim_{x \to 0} \frac{\sin^2 2x}{x(1-e^x)}

c = \lim_{x \to 1} \frac{\sqrt{x-x}}{\ln x}

. Then

a, b, c

satisfy : (a)

a < b < c

(b)

b < c < a

(c)

a < c < b

(d)

b < a < c