Help! Totally stuck up with this limit.. I don't even know where to start with this
$$\displaystyle\lim_{x \rightarrow \frac{\pi}{6}} (2+\cos {6x})^{\ln |\sin {6x}|}$$
Please help me out (Hints in the right direction would be appreciated)

Let $t=\frac\pi6-x$ then $\sin(6x)=\sin(6u)$ and $\cos(6x)=-\cos(6u)$ so the desired limit becomes
$$\lim_{u\to0}(1+(1-\cos(6u))^{\ln|\sin(6u)|}\sim_{u\to0}\exp(\ln|6u|(1-\cos(6u)))\sim_0\exp(\ln|6u|18u^2)\sim_01$$
