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Question
\[\lim_{x \to 0} \left[ \frac{x^2}{\sin x^2} \right]\]
Solution
\[\text{ When } x \to 0, \text{ then } x^2 \to 0 .\]
Let \[\theta = x^2\]
⇒\[\lim_\theta \to 0 \left( \frac{\theta}{\sin\theta} \right)\]
= 1
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