# Math Help - Bolzano-Weierstrass Theorem

1. Originally Posted by particlejohn
can you give me an example of where one's intersection is empty and another intersection is not?
let $I = \left\{\frac{1}{n}\right\}$
take $L=1$ as its bound.
so, $I \subseteq [-1,1]=[-1,0] \cup [0,1]$....

2. ## Re: Bolzano-Weierstrass Theorem

You can see an example of Bolzano's theorem on:

The prodigious memory of Van Bommel. Bolzano's theorem.

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