Asymptotic standard deviation of the mean of odds

Let $X_1,X_2,…$ be a sequence of i.i.d. random variables having the probability density function

$$f(x)=\begin{cases}\frac1{B(6,4)}x^5(1-x)^3, & 0<x<1,\ 0, & \text{otherwise.}\end{cases}$$

Let $Y_i=\frac{X_i}{1-X_i}$ and $U_n=\frac1n\sum_{i=1}^nY_i$. If the distribution of $\dfrac{\sqrt n(U_n-2)}\alpha$ converges to $N(0,1)$ as $n\to\infty$, then a possible value of $\alpha$ is