$\mathop {\lim }\limits_{x \to 0} \frac{{\sqrt {1 - \cos 2x} }}{{\sqrt 2 x}}$ is

JEE MATHEMATICS MCQ: LIMITS

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\lim\limits_{x \to 0} \frac{{\sqrt {1 - \cos 2x} }}{{\sqrt 2 x}}

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Correct option: D

Does not exist

Option D (Does not exist) is correct because the left-hand limit and right-hand limit of the function as x approaches 0 are not equal.

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