Nilai \( \displaystyle \lim_{x \to 4} \ \frac{(x-4)}{\sqrt{x}-2} = \cdots \)
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(UN SMA IPA 2011)
Pembahasan:
\begin{aligned} \lim_{x \to 4} \ \frac{(x-4)}{\sqrt{x}-2} &= \lim_{x \to 4} \ \frac{(\sqrt{x}-2)(\sqrt{x}+2)}{\sqrt{x}-2} \\[8pt] &= \lim_{x \to 4} \ (\sqrt{x}+2) \\[8pt] &= \sqrt{4} + 2 = 4 \end{aligned}
Jawaban B.