How can we find a limit point of a set ? Is there any formal method or we have to observe the set , how it behaves?
Like here , we have an example: $S=\{{1}/{2^m}+1/2{^n}: m,n \in \mathbb{Z} \}$. We observe for $n=0,1,2\dots$ and when we vary $m$ we get limit points as $1,1/2,1/4 \dots$, but I don't know how to approach formally.