# Thread: Real Analysis Nested Theorem

1. ## Real Analysis Nested Theorem

Show that the nested set theorem is false if F_1 is unbounded
I had a hard time understanding the proof of the theorem so I am completely lost on how to solve this problem

2. ## Re: Real Analysis Nested Theorem

I'm not sure what version of the nested theorem you mean but I would try for example $\displaystyle F_n:=[n,+\infty)$ in the real line.

3. ## Re: Real Analysis Nested Theorem

yes thats exactly what i did. I was able to solve the problem! thank you