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.