Question: Prove that for the distribution function of any random variable, limx F(x) = 0. Hint: Use the result of the preceding exercise and the theorem

Prove that for the distribution function of any random variable, limx→−∞ F(x) = 0. Hint: Use the result of the preceding exercise and the theorem from real analysis that if limn→∞ F(xn) = L for every sequence xn decreasing to

−∞, then limx→−∞ F(x) = L.

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