Limit Trigonometri Bentuk Mengubah Fungsi

\begin{equation*}
\begin{split}
& \lim_{x \rightarrow \pi}\frac{\sin 2x}{\pi-x} \\\\
& \lim_{x \rightarrow \pi}\frac{- \sin (2 \pi - 2x)}{\pi-x} \\\\
& \lim_{x \rightarrow \pi}\frac{- \sin 2 (\pi - x)}{\pi-x} \\\\
& -2
\end{split}
\end{equation*}