Sequences (Analysis)
From Queer Beagle Wiki
Bolzano-Weirstrass Theorem
If \( \{a_n\}\sube \R\) is a bounded sequence, there exists a convergent subsequence \( \{a_{n_k}\} \sube \{a_n\} \).
If \( \{a_n\}\sube \R\) is a bounded sequence, there exists a convergent subsequence \( \{a_{n_k}\} \sube \{a_n\} \).