Use Division Distributive Property: \({(\frac{x}{y})}^{a}=\frac{{x}^{a}}{{y}^{a}}\).
\[l\imath mx->0\times \frac{\sqrt[1-\cos{(x)]{\sin{x}}}}{\sqrt[1-\cos{(x)]{)}}}\]
Simplify \(0\times \frac{\sqrt[1-\cos{(x)]{\sin{x}}}}{\sqrt[1-\cos{(x)]{)}}}\) to \(0\).
\[l\imath mx->0\]
Regroup terms.
\[-+l\imath mx>0\]
Divide both sides by \(\imath \).
\[-+lmx>0\]
Divide both sides by \(m\).
\[-+lx>0\]
Divide both sides by \(x\).
\[-+l>0\]
Multiply both sides by \(-1\).
\[l<0\]
l<0
