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Question
\[\lim_\theta \to 0 \frac{\sin 4\theta}{\tan 3\theta}\]
Solution
\[\lim_\theta \to 0 \left[ \frac{\sin 4\theta}{\tan 3\theta} \right]\]
\[ = \lim_\theta \to 0 \left[ \frac{\sin 4\theta}{4\theta} \times \frac{4\theta}{\frac{\tan 3\theta}{3\theta} \times 3\theta} \right]\]
\[ = \frac{4}{3}\]
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