Nilai lim_(x→2)⁡ (x^2-3x+2)/(x-1)=⋯

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Bahas Soal Matematika   »   Limit   ›  

Nilai \( \displaystyle \lim_{x \to 2} \ \frac{x^2-3x+2}{x-1} = \cdots \)

  1. -2
  2. -1
  3. 0
  4. 1
  5. 2

(UN SMA IPS 2018)

Pembahasan:

\begin{aligned} \lim_{x \to 2} \ \frac{x^2-3x+2}{x-1} &= \frac{(2)^2-3(2)+2}{2-1} \\[8pt] &= \frac{4-6+2}{1} \\[8pt] &= \frac{0}{1} = 0 \end{aligned}

Jawaban C.