The Bolzano–Weierstrass theorem, a proof from real analysis

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Proves Bolzano–Weierstrass (every bounded sequence has a convergent subsequence) via nested intervals, pacing a classic real-analysis argument for students seeing proof-based maths for the first time.

What you'll learn

A proof of the Bolzano-Weierstrass theorem from real analysis.

Video by Zach Star, played through YouTube's embedded player.