limit trigonometri dari sin 8X cos 2x / sin2x tolong dibantu ya

[tex]$\begin{align}\lim_{x\to0}\frac{\sin8x\cdot\cos2x}{\sin2x}&=\lim_{x\to0}\frac{\sin8x(1-2\sin^2x)}{\sin2x}\\&=\lim_{x\to0}\left(\frac{\sin8x}{\sin2x}-\frac{\sin8x\cdot2\sin^2x}{\sin2x}\right)\\&=\frac82-\frac82\cdot0\\&=\boxed4\end[/tex]