Difference between revisions of "Sequences (Analysis)"

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(Created page with " ===Bolzano-Weirstrass Theorem=== If <math> \{a_n\}\sube \R</math> is a bounded sequence, there exists a convergent subsequence <math> \{a_{n_k}\} \sube \{a_n\} </math>.")
 
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Latest revision as of 21:25, 7 December 2022



Bolzano-Weirstrass Theorem

If \( \{a_n\}\sube \R\) is a bounded sequence, there exists a convergent subsequence \( \{a_{n_k}\} \sube \{a_n\} \).