I found this symbol on a math book that I'm studying. It had never happened before. What does this mean?
$$\overline{\lim_{n\rightarrow \infty}}$$
It's another notation for $\limsup$. $\LaTeX$ has the command \varlimsup to produce it: $\varlimsup$. Similar is \varliminf producing $\varliminf$ for $\liminf$.
\varlimsupproduces $\varlimsup$ in $\LaTeX$. – Daniel Fischer Apr 22 '14 at 21:17