- #1

- 90

- 0

## Main Question or Discussion Point

If I_n = (0, 1/n) where n is any natural no. is a sequence of nested intervals, then the intersection of all the I_n is empty.

I was able to get the proof similar as that of above problem but the I_n is closed, that is, I_n = [0, 1/n]... and further, the intersection of all the I_n is {0}.

What I am trying to do is to prove by contradiction because it is the easiest way to prove it. How do I construct this?

I was able to get the proof similar as that of above problem but the I_n is closed, that is, I_n = [0, 1/n]... and further, the intersection of all the I_n is {0}.

What I am trying to do is to prove by contradiction because it is the easiest way to prove it. How do I construct this?