engineering mathematics MCQ #990

What is the limit of (sin(x) - x) / x³ as x approaches 0?

engineering mathematics MCQ #990

  1. Question 1

    Q1. What is the limit of (sin(x) - x) / x³ as x approaches 0?

    • A) 0
    • B) 1 / 6
    • C) 1 / 3
    • D) undefined

    Answer: 1 / 6

    Explanation: Use L'Hopital's rule three times to get lim (x→0) (sin(x) - x) / x³ = -1 / 6.