My probability professor proved the property of "continuity to the right" of the repartition fucntion F by showing that F(x+1/n)--->F(x). But as I remember it, continuity to the right means that for(adsbygoogle = window.adsbygoogle || []).push({}); anysequence {a_n} of elements of (x,+infty) that converges to x, F(a_n) converges to F(x). Is there some subtlety I'm not aware of by which showing F(x+1/n)--->F(x) is sufficient to show it works for any sequence?

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

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Continuity to the right.

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