Explore BrainMass

Explore BrainMass

    Real Analysis : Limit and Sequence

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Show that if x=lim a_n for some sequence (a_n) contained in A satisfying a_n not = x,then x is a limit point of A.

    © BrainMass Inc. brainmass.com December 24, 2021, 5:05 pm ad1c9bdddf

    Solution Preview

    Definition of limit point of a set A: A point x (may or may not be in A) is said to a limit point of A if each epsilon neighbourhood of x intersects with A at otherthan x ...

    Solution Summary

    A proof involving a limit and sequence is provided.