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

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

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

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

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

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