# What does "the sequence of functions has limit in R" mean?

• I
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TL;DR Summary
I am trying understand a condition in a set notion.
Suppose f1,f2... is a sequence of functions from a set X to R. This is the set T={x in X: f1(x),... has a limit in R}. I am confused about what is the meaning of the condition in the set. Is the limit a function or a number value? Why?