We defined the definition of a closed set to be:(adsbygoogle = window.adsbygoogle || []).push({});

"[tex]F\subset\mathbb{R}[/tex] is closed if the limit of any convergent sequence in F is an element of F."

Now we have also defined that a sequence may "converge to infinity". Is infinity considered a point in N?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: N is closed?

**Physics Forums | Science Articles, Homework Help, Discussion**