JEE Mathematics · Medium

Sequences and Series: AM-GM MCQ

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AM-GMMediumQuestion 210043

Question

If x > 0, the minimum value of x + 4/x is:
  1. A
    4
    Correct
  2. B
    3
  3. C
    2
  4. D
    5

Correct answer

4

Explanation

By AM-GM: x + 4/x ≥ 2√(x·4/x) = 2√4 = 4. Minimum = 4 at x = 2.