Thread: 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.

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.