Evaluate $ \lim_{n \to \infty}n \int_0^{\frac{\pi}{2}} (1 - \sqrt[n]{\sin x}) \; dx $
Related one originally posted by Shafiqur Rahman as below:
Evaluate $ \lim_{n \to \infty}n \int_0^{\frac{\pi}{2}} (1 - \sqrt[3n]{\sin x}) \; dx $
Answer: will be available soon.
