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I have a simple question :

Let $X_n$ a random variable of same law

If $V(X_n)\longrightarrow 0$ when $n\longrightarrow +\infty$

How schow that : $E(X_n)\longrightarrow C$ and $E(X_{n}^{2}\longrightarrow C^2$ and C is a constant?

Thanks

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# Let $X_n$ a random variable of same law

**Physics Forums | Science Articles, Homework Help, Discussion**