bolzano weierstrass theorem
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In mathematics, specifically in real analysis, the Bolzano Weierstrass theorem, named after Bernard Bolzano and karl Weierstrass, is a fundamental result about convergence in a finite-dimensional Euclidean space R^n. The theorem states that each bounded sequence R^n has a convergent subsequence.
An equivalent formulation is that a subset of R^n is sequentially compact if and only if it is closedand bounded. The theorem is sometimes called the sequential compactness theorem
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An equivalent formulation is that a subset of R^n is sequentially compact if and only if it is closedand bounded. The theorem is sometimes called the sequential compactness theorem
I hope it will helpful for u
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