calculus - Find the limit $ L = limlimits_{x to infty} left( x ln x + 2 x ln sin frac{1}{sqrt{x}} right) $.

Problem: Find the limit $ \displaystyle L = \lim_{x \to \infty} \left( x \ln x + 2 x \ln \sin \frac{1}{\sqrt{x}} \right) $.

Please suggest how to proceed in this problem. I will be grateful to you. Thanks.