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Lim X → 0 [ X 2 Sin X 2 ]

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प्रश्न

\[\lim_{x \to 0} \left[ \frac{x^2}{\sin x^2} \right]\] 

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उत्तर

\[\text{ When } x \to 0, \text{ then } x^2 \to 0 .\] 

Let \[\theta = x^2\] 

⇒\[\lim_\theta \to 0 \left( \frac{\theta}{\sin\theta} \right)\]

= 1

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अध्याय 29: Limits - Exercise 29.7 [पृष्ठ ४९]

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आर.डी. शर्मा Mathematics [English] Class 11
अध्याय 29 Limits
Exercise 29.7 | Q 3 | पृष्ठ ४९

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