$\lim _{x \rightarrow 0} \frac{\sqrt{1-\cos 2 x}}{\sqrt{2} x}$ is

JEE MATHEMATICS MCQ: LIMITS

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\lim _{x \rightarrow 0} \frac{\sqrt{1-\cos 2 x}}{\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 the right-hand limit are different, hence the limit does not exist.

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