JEE Mathematics · Easy

Limits and Continuity: Left and right limits MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Left and right limitsEasyQuestion 240005

Question

If f(x) = |x|/x for x ≠ 0, then lim(x→0⁺) f(x) is:
  1. A
    1
    Correct
  2. B
    −1
  3. C
    0
  4. D
    Undefined

Correct answer

1

Explanation

For x > 0: |x| = x, so f(x) = x/x = 1. As x → 0⁺, f(x) → 1.