Question 1
In a topological space, what is a limit point of a set $A$?
Question 2
Which statement is always true about a limit point $x$ of a set $A$?
Question 3
In the real line with the usual topology, which point is a limit point of the set $A = \{1, 1/2, 1/3, 1/4, \dots\}$?
Question 4
Which set has no limit points in the usual topology on $\mathbb{R}$?
Question 5
How are limit points related to closure?
