_ x 1 1- 2(x-1) x-1
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
\(\lim _{x \rightarrow 1} \frac{\sqrt{1-\cos 2(x-1)}}{x-1}\)
- exists and it equals

- exists and it equals –

- does not exists because x – 1 → 0
- does not exist because the left hand limit is not equal to the right hand limit.
Answer
(D) does not exist because the left hand limit is not equal to the right hand limit.
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