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Real Analysis : Limit and Sequence

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.

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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.