Question

limx→0 (tan3x/sin8x)

Answer 1

\( \lim_{x \to 0} \frac{tan3x}{sin8x}\)

= \(\lim_{x \to 0} \frac{\frac{tan3x}{3x}}{\frac{sin8x}{8x}}\)

= \(\lim_{x \to 0} \frac{tan3x}{3x} × \frac{8x}{sin8x} × \frac{3}{8}\)

= \(\frac{3}{8} × \lim_{x \to 0} \frac{tan3x}{3x} × \frac{8x}{sin8x} \)

= \(\frac{3}{8} × 1 × 1 = \frac{3}{8} \)