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http://img527.imageshack.us/img527/6049/48193240ao5.png [Broken]

I don't understand this proof. The first two lines are clear to me: the sequence x_{n}is in F and F is closed so its complement is open so there is a ball with radius r around x in F^{c}.

But I don't understand the last two lines. Of course there y larger then the radius od the ball but what's the relation with the converging sequence?

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# Homework Help: Closed set: definition

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