We have a sequence of random variables $\displaystyle (X\_n)\_{n\geq 1}$ satisfies ${ E( X\_n) \to 1 }$ and ${ E( X\_n ^{2} ) \to 1}$. Show that $\displaystyle (X\_n)\_{n\geq 1}$ converges in distribution, and to what distribution. 

This looks like a fairly easy one, but I just don't know where to start. Much appreciated if someone can help.