Bourbaki

Corollary 1

Tag 0EDP, permanent. Cite it as [Bourbaki, Tag 0EDP].

General Topology, chapter IX, Appendix 2. Produits infinis dans les algèbres normées

If the infinite product of general factor xnx_n is convergent, and if ∏n=0∞xn\prod_{n=0}^\infty x_n is invertible, lim⁡n→∞xn=e\lim_{n \to \infty} x_n = e.

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

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