- #1
jrsweet
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Homework Statement
Suppose x is an accumulation point of {an: n is a member of integers}. Show there is a subsequence of (an) 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 an. I guess I just don't know how to construct the subsequence.
Any help would be greatly appreciated!