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infinitely/finitely many

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infinitely/finitely many

1) In the second paragraph, "infinitely many points finitely many points" should be "infinitely many points";

2) The entry should be categorized as "definition" instead of "proof";

3) The definition is a bit confusing to me. When you say "contains all but finitely many points of the sequence" I understand "points of the sequence" as "values" of it, but I pressume you mean that there are finitely many indices for which the corresponding values do not belong to the open set. Perhaps this should be made more clear?

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