Hi, I would need some help for a pratical exercise of probability about convergence of random variables.
Consider the following distribution function : $F^{X_{n}}(x) = \frac{e^{nx}}{e^{nx}+1} ; n \geq 1$. Proof there is a sequence of random variables $(X_{n}) ; n \geq 1$ , which law is given for all $n$ by $F^{X_{n}}$. Does this sequence converge in distribution ?
I cannot find a sequence of such random variables. Any ideas ? Thanks in advance for helping
