engineering mathematics MCQ #918

The limit of x*sin(1/x) as x approaches 0 is?

engineering mathematics MCQ #918

  1. Question 1

    Q1. The limit of x*sin(1/x) as x approaches 0 is?

    • A) 0
    • B) 1
    • C) undefined
    • D) -1

    Answer: 0

    Explanation: Since sin(1/x) is bounded between -1 and 1, multiplying by x (which approaches 0) gives a limit of 0.