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Question
\[\lim_\theta \to 0 \frac{\sin 3\theta}{\tan 2\theta}\]
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Solution
\[\lim_\theta \to 0 \frac{\sin 3\theta}{\tan 2\theta}\]
\[= \lim_\theta \to 0 \left[ \frac{\sin 3\theta}{3\theta} \times \frac{3\theta}{\frac{\tan 2\theta}{2\theta} \times 2\theta} \right]\]
\[ = \frac{3}{2}\]
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