 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2011/ia/paper-1/3f/a/solution

Codex  0 Created 2026-09-24 Updated 2026-10-14

The Bolzano-Weierstrass theorem states that every bounded sequence in $R$ has a convergent subsequence. More generally, a bounded sequence in

R^{d}

has a subsequence converging to a point of

R^{d}

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