Nilai \( \displaystyle \lim_{x \to 2} \ \frac{x^3-4x}{x-2} = \cdots \)
- 32
- 16
- 8
- 4
- 2
(UN SMA IPA 2008)
Pembahasan:
\begin{aligned} \lim_{x \to 2} \ \frac{x^3-4x}{x-2} &= \lim_{x \to 2} \ \frac{x \ (x-2)(x+2)}{x-2} \\[8pt] &= \lim_{x \to 2} \ x (x+2) \\[8pt] &= 2(2+2) \\[8pt] &= 8 \end{aligned}
Jawaban C.