engineering mathematics MCQ #935

If f(x) = 1 / (1 + x²), what is the maximum value of f(x)?

engineering mathematics MCQ #935

  1. Question 1

    Q1. If f(x) = 1 / (1 + x²), what is the maximum value of f(x)?

    • A) 0
    • B) 1
    • C) 1/2
    • D) ∞

    Answer: 1

    Explanation: The denominator 1 + x² is always ≥ 1, so f(x) = 1 / (1 + x²) ≤ 1, with maximum at x = 0.