- #1
Bachelier
- 376
- 0
Not a homework problem.
I was reading this analysis book by Korner and in it there was a question about Bolzano-Weierstrass property in [tex] \mathbb{R} [/tex]. it states
[tex]\text{Find a sequence} \ x_n \in [0,1], \text{such that given any x} \in [0,1], \text{we can find} \ n_1 < n_2 < ... s.t. \ x_n_j \rightarrow x \ as j \rightarrow \infty [/tex]
I was reading this analysis book by Korner and in it there was a question about Bolzano-Weierstrass property in [tex] \mathbb{R} [/tex]. it states
[tex]\text{Find a sequence} \ x_n \in [0,1], \text{such that given any x} \in [0,1], \text{we can find} \ n_1 < n_2 < ... s.t. \ x_n_j \rightarrow x \ as j \rightarrow \infty [/tex]