How can we prove the following asymptotic lower bound?
$$\lim_{n\to\infty}\int_0^{1} I_{2 t - t^2}\left(\frac{n - 1}{2}, \frac{1}{2}\right) dt=\Omega\left(\frac{1}{\sqrt{n}}\right)$$
Approximating a limit of an integral of the regularized Beta function
Penelope Benenati
- 1.7k
- 1
- 9
- 20