Show that f is a closed subset

[Dick]

I ment:
If {x_n} is a convergent sequence of elements in F, then the limit a =
lim x_n always belongs to F. = F is closed. I thought you used this rule, but no?

That's what you just did. Translate the statement '(blank) is an element of F' to '(blank) is continuous and bounded' where (blank) is anything. Because that's the definition of F!

 

[MaxManus]

Thanks for your patience. It took some days, but I get that the two are the same thing now.