(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

3. 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!

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# Homework Help: X is an accumulation point show there is subsequence that converges to x

**Physics Forums | Science Articles, Homework Help, Discussion**