## Probability Theory : convergence in distribution [closed]

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

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I suggest this question be asked instead at math.stackexchange.com – Yemon Choi Dec 30 2011 at 17:57
Homework? This is not the place for it. Try math.stackexchange.com – Robert Israel Dec 30 2011 at 17:58
Thanks, i am redirecting my query to this site ;) – Hernium Dec 30 2011 at 19:20