The text I am reading uses some notation that I am not sure about. The only other place I saw that was in denoting limit from the left/right. Here I am not sure whether it means the same or something else.

quoting

The Central Limit Theorem (Bingham and Kiesel Section 2.9) tells us that

ie

and similarly

end quote

I don't have the above textbook and I've seen more than one version of Central Limit Theorem. So, my questions,

(1) is the above simply saying that the distribution of

converges to N(0,1)?

(2) is the notation

etc is to denote right/left continuity?

thanks