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Question 240013
JEE Mathematics · Medium

Limits and Continuity: Removable discontinuity MCQ

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Removable discontinuityMediumQuestion 240013

Question

The function f(x) = sin x / x at x = 0 has:
  1. A
    Removable discontinuity
    Correct
  2. B
    Jump discontinuity
  3. C
    Infinite discontinuity
  4. D
    No discontinuity

Correct answer

Removable discontinuity

Explanation

lim(x→0) sin x / x = 1 exists, but the function is not defined at x = 0. If we define f(0) = 1, f becomes continuous — so it has a removable discontinuity.

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