# Thread: accumulation point

1. ## accumulation point

Let A be a subset of R. Let x be in R. Show that x is an acc. pt. of A if and only if there exists a sequence of distinct points in A that converge to x.

2. Originally Posted by Jdg6057
Let A be a subset of R. Let x be in R. Show that x is an acc. pt. of A if and only if there exists a sequence of distinct points in A that converge to x.
Compare the definitions of accumulation point and convergence.