Question 1 (§3.1 Open and closed sets). Find a sequence of open sets {$O_n} such that $igcap_{n=1}^{infty} O_n$ is nonempty and closed. Question 2 (§3.2 Compact sets). Prove that the interval $[0,infty)$ is not compact by choosing an open cover and showing that it does not have a finite subcover.
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