I need help proving this Lemma: A sequence in converges if and only if for each the sequence converges in . Thanks guys
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Originally Posted by hercules I need help proving this Lemma: A sequence in converges if and only if for each the sequence converges in . Thanks guys Say . Then it means, But that means, . Thus, each component converges. Conversely if each component converges it means, . That means, .
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