# Real Analysis Nested Theorem

• May 16th 2012, 10:52 PM
edubaik
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 (Angry)
• May 17th 2012, 02:06 AM
girdav
Re: Real Analysis Nested Theorem
I'm not sure what version of the nested theorem you mean but I would try for example $F_n:=[n,+\infty)$ in the real line.
• May 17th 2012, 11:06 AM
edubaik
Re: Real Analysis Nested Theorem
yes thats exactly what i did. I was able to solve the problem! thank you