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Question 240004
JEE Mathematics · Easy

Limits and Continuity: Continuity definition MCQ

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Continuity definitionEasyQuestion 240004

Question

A function f(x) is continuous at x = a if:
  1. A
    lim(x→a) f(x) = f(a)
    Correct
  2. B
    f(a) exists
  3. C
    lim(x→a) f(x) exists
  4. D
    f(a) = 0

Correct answer

lim(x→a) f(x) = f(a)

Explanation

Continuity at x = a requires three conditions: f(a) is defined, lim(x→a) f(x) exists, and the limit equals f(a).

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