Let an neN C R be a sequence and let a E R be a number Show that the following are equivalent Hint For the harder implication do

Question

Let an neN C R be a sequence and let a E R be a number Show that the following are equivalent Hint For the harder implication do a proof by contradiction a an a b For every subsequence an jeN C an neN there exists a further subsequence an kEN C ani jen which converges to a

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