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

Show that every compact set must be closed.

I am looking for a simple proof.

This is supposed to be Intro Analysis proof.

Relevant equations

Any compact set must be bounded.

3. The attempt at a solution

SupposeAis not closed, so letabe an accumulation point ofAsuch thatais inAetc. (I think I can finish this proof, but I do not like it.)

Does anyone know of a simpler proof.

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# Compact Sets

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