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1998

JEE Main 1998 Mathematics question on Limits Continuity and Differentiability

lim⁡x→11−cos⁡2(x−1)x−1\lim_{x \to 1} \dfrac{\sqrt{1 - \cos 2(x-1)}}{x-1}
  1. A.
    exists and it equals 2\sqrt{2}
  2. B.
    exists and it equals −2-\sqrt{2}
  3. C.
    does not exist because x−1→0x - 1 \to 0
  4. D.
    does not exist because left hand limit is not equal to right hand limit
Show answer

Correct option: C

[1998]

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