Hi all,
I'm just wondering if you could show me how to prove this statement. Obviously, it's intuitively clear but I just can't get a proof working for it:
Hi all,
I'm just wondering if you could show me how to prove this statement. Obviously, it's intuitively clear but I just can't get a proof working for it:
Closure(B(1,a)) = { x in R^n: |x-a| <= 1 }
Thanks a lot!
You know that is a closed set containing and so . That said, since each with is a limit point of (why?) one must have that , can you conclude?
Oh, and it's not as intuitively obvious as one would hope. For example, in a discrete space one has that but for all