- #1

lolalyle

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## 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

Prove that the sequence is open.

## The Attempt at a Solution

Let E>0 be given.

Let x \in A be given.

Let lim sn=x.

Choose N such that ... for all n>N.

...