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Question 240009
JEE Mathematics · Medium

Limits and Continuity: Trigonometric limits MCQ

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Trigonometric limitsMediumQuestion 240009

Question

lim(x→0) (1 − cos x)/x² equals:
  1. A
    1/2
    Correct
  2. B
    1
  3. C
    0
  4. D
    2

Correct answer

1/2

Explanation

Using half-angle: 1 − cos x = 2sin²(x/2). So (1−cos x)/x² = 2sin²(x/2)/x² = (1/2)[sin(x/2)/(x/2)]² → 1/2 as x → 0.

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