ISRO Electrical Engineering (EE) 2017 - Question 71

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lim (x -> infinity) of ((x + sin x)/x) equals to

  • A. –∞
  • B. 0
  • C. 1
  • D. ∞

Answer: C. 1

Explanation: lim(x→∞) (x + sin x)/x = lim(x→∞) [1 + (sin x)/x]. Since −1 ≤ sin x ≤ 1, (sin x)/x → 0 as x → ∞, giving 1 + 0 = 1.

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