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## Theorem: Every Bounded Real Sequence has a Convergent Subsequence (Bolzano, Weierstrass)

Every bounded real sequence $$(a_n)_{n\in\mathbb N}$$ has a convergent subsequence $$(a_{n_k})_{k\in\mathbb N}$$ (i.e. at least one accumulation point).

### Notes

| | | | | created: 2015-02-28 13:40:52 | modified: 2017-04-16 11:48:59 | by: bookofproofs | references: [581]

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