Determining if a sequence diverges or converges
Answer:
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a sequence converges, it means that the limit of the sequence exists as n → ∞ n\to\infty n→∞. If the limit of the sequence as n → ∞ n\to\infty n→∞ does not exist, we say that the sequence diverges. A sequence always either converges or diverges, there is no other option.
A convergent sequence has a limit — that is, it approaches a real number. A divergent sequence doesn't have a limit
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