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## Homework Statement

Suppose x is an accumulation point of {a

_{n}: n is a member of integers}. Show there is a subsequence of (a

_{n}) that converges to x.

## The Attempt at a Solution

I'm a little stuck on this one. I know that since x is an accumulation point then every neighborhood around x, (x-e,x+e) contains infinitely many points of a

_{n}. I guess I just don't know how to construct the subsequence.

Any help would be greatly appreciated!