27 A second connection between accumulation points and sequences part 1

In this theorem we discuss the theorem that says that if a sequence without a constant tail converges to the point x, then x is an accumulation point for the set of terms of the sequence. In this video, we look at why we need the hypothesis that the sequence does not have a constant tail, as well as what it is that we know (from saying the sequence converges to x) and what it is that we must do in order to prove that x is an accumulation point.

The formal proof is in the following video, 28 A second connection between accumulation points and sequences part 2