Nilai lim_(x→3)⁡ (2x^2-4x-6)/(x^2-2x-3)=⋯

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Bahas Soal Matematika   »   Limit   ›  

Nilai \( \displaystyle \lim_{x \to 3} \ \frac{2x^2-4x-6}{x^2-2x-3} = \cdots \)

  1. -2
  2. 0
  3. 2
  4. 6
  5. 8

(UN SMA IPS 2017)

Pembahasan:

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

Jawaban C.