1. The problem statement, all variables and given/known data Define the w-limit set (omega) of a point. Show that w(x) is closed. 2. Relevant equations 3. The attempt at a solution The definition of a limit set is the set of points to which there exists a sequence t_n→∞ such that [itex]\phi(t_n,x)[/itex] → y The second question. I was first thinking that I could try to find a sequence to show that y is in the closure of w(x) but my real analysis/topology skills are bad and I could really use some help! All help is greatly appreciated!