Nilai \( \displaystyle \lim_{x \to 0} \ \frac{\cos x - 1}{\sin x} = \cdots \)
Pembahasan:
\begin{aligned} \lim_{x \to 0} \ \frac{\cos x - 1}{\sin x} &= \lim_{x \to 0} \ \frac{\cos x - 1}{\sin x} \cdot \frac{x}{x} \\[8pt] &= \lim_{x \to 0} \ \frac{\cos x - 1}{x} \cdot \lim_{x \to 0} \ \frac{x}{\sin x} \\[8pt] &= 0 \cdot 1 \\[8pt] &= 0 \end{aligned}