\(\displaystyle{ \lim_{x \rightarrow \: \sim}x \:.\: \sin{\frac{2}{x}} \:.\: \cos{\frac{2}{x}}}\)
Misalkan \(y = \frac 1x\)
Untuk \(x \rightarrow \: \sim\) maka \(y \rightarrow 0\)
\begin{equation*}
\begin{split}
& \lim_{x \rightarrow \: \sim} x \:.\: \sin{\frac{2}{x}} \:.\: \cos{\frac{2}{x}} \\\\
& \lim_{y \rightarrow 0} \frac 1y \:.\: \sin 2y \:.\: \cos 2y \\\\
& 2 \:.\: \cos 0 \\\\
& 2
\end{split}
\end{equation*}