I know that if X is Normed linear space then every convergent sequence in X is Cauchy.. is it true the other way around or does it all actually mean one thing ??
2026-03-26 01:29:18.1774488558
Can we say that if every convergent sequence in X is Cauchy then X is a Banach space?
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Every convergent sequence is Cauchy in any normed linear space. This does not imply that $X$ is complete. But the other way holds iff $X$ is complete.