(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that if K is compact and F is closed, then K n F is compact.

2. Relevant equations

A subset K of R is compact if every sequence in K has a subsequence that converges to a limit that is also in K.

3. The attempt at a solution

I know that closed sets can be characterized in terms of convergent sequences. Am I suppose to use that to prove the question?I really have no idea how to do this question.

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# Homework Help: Real Analysis: Compact sets

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