Recent content by lolalyle

  1. L

    How do I prove that a sequence is open?

    Yes! Thank you. I definitely do not know why I didn't see that in the first place.
  2. L

    How do I prove that a sequence is open?

    For all E>0, there exists a real number N such that for all n in the natural numbers, n>N implies that abs(sn-s)<E.
  3. L

    How do I prove that a sequence is open?

    Homework Statement Let B be an open set. Let x \in A. Let sn be a sequence such that lim sn=x. Then there exists an N such that sn \in A for all n>N. Definition of Open Set: S is open if for every x \in S, there exists an E>0 such that (s-E,s+E) \subset S Homework Equations...
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