\(\mathop {\lim }\limits_{x \to 0} \frac{{\sin 5x.\sin 3x.\sin x}}{{45{x^3}}}\)
Giải chi tiết:
\(\mathop {\lim }\limits_{x \to 0} \frac{{\sin 5x.\sin 3x.\sin x}}{{45{x^3}}}\)\( = \mathop {\lim }\limits_{x \to 0} \frac{{\sin 5x}}{{5x}}.\frac{{\sin 3x}}{{3x}}.\frac{{\sin x}}{x}.\frac{1}{3} = \frac{1}{3}\).
Chọn C.