The value of $\mathop {\lim }\limits_{x \to 0} \frac{{{x^2}\sin \left( {\frac{1}{x}} \right)}}{{\sin x}}$, is

JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

The value of

\lim\limits_{x \to 0} \frac{{{x^2}\sin \left( {\frac{1}{x}} \right)}}{{\sin x}}

, is

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Correct option: B

Option B (0) is correct because the product of a function approaching zero and a bounded function is zero.

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f^{\prime}(0)

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