• 342 Bonzano-Weierstrass theorem
ᐥAny bounded sequence of real numbers contains a convergent subsequence.ᐥ If max｢a⸤n⸥｣ does not exist, then for all a⸤n⸥ there exits a natural number N such that a⸤n⸥ < a⸤N⸥. This means that there exists an increasing subsequence. ┄ A bounded monotone s ...
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