In: Advanced Math
Let A ⊆ C be infinite and denote by A' the set of all the limit points of A.
Prove that if z ∈ A' then there is a non-trivial sequence of elements in A that converges to z
Let here a infinite set A is given z be the limit point of A. We want to show there exist sequence in A which convergent to z. Above images contains proof of that.