Nilai lim_(x→∞) ⁡sin⁡ 1/x=⋯

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Bahas Soal Matematika   »   Limit   ›  

Nilai \( \displaystyle \lim_{x \to \infty} \ \sin \frac{1}{x} = \cdots \)

  1. ∞
  2. 0
  3. 1
  4. 2
  5. 3

(UN SMA IPA 2002)

Pembahasan:

\begin{aligned} \lim_{x \to \infty} \ \sin \frac{1}{x} &= \sin \frac{1}{\infty} = \sin 0 = 0 \end{aligned}

Jawaban B.