Wednesday, 6 June 2018

probability - Let FX(x):=P(Xleqx) a distribution function of a random variable X. Prove that FX is right-continuous.

Let FX(x):=P(Xx) a distribution function of a random variable X.



Prove that FX is right-continuous.



I need to show that for every non-increasing sequence xn with limxn=x I will get:



limnf(xn)=f(x0)



How do I show this ? Any ideas ?

No comments:

Post a Comment

real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...