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Revision difference : Bolzano-Weierstrass theorem |
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Version 3 |
| Given any bounded, real sequence $(a_n)$ there exists a convergent subsequence $(a_{n_j})$. |
Given any bounded, real sequence $(a_n)$ there exists a convergent subsequence $(a_{n_j})$. |
| More generally, any sequence $(a_n)$ in a compact set, has a convergent subsequence. |
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