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  "body": "\n## Definition\n\nA [[real sequence|0CTV783HYT]] $(a_n)$ is convergent if it converges to some real number $L$.\nHere convergence is in the sense of the [[limit of a sequence|0XKWSSY8P2]].\n\n## Remarks\n\nThe sequences $1/(n+1)$ and $(n+1)/(n+2)$ are convergent, with limits $0$ and $1$.\nThe constant sequence $a_n = c$ converges to $c$.\nA sequence that is not convergent is a [[divergent sequence|01HR2AH0BX]].\n\n## Explanations\n\n### L1 human\n\nA convergent sequence is a sequence that has a limit.\nIts terms settle down near one real number.\n",
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