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  "body": "\n## Summary\n\nIn mathematics, the **limit** of a [[sequence|0G9EKM0E15]] of [[sets|0BSJ7RQ9BW]] $A_1, A_2, \\ldots$ ([[subsets|0BJR9QR08E]] of a common set $X$) is a set whose elements are determined by the sequence in either of two equivalent ways: **(1)** by upper and lower bounds on the sequence that converge monotonically to the same set (analogous to [[convergence of real-valued sequences|05M5SWSZZD]]) and **(2)** by convergence of a sequence of indicator functions which are themselves [[real|08J2M1JYAG]]-valued. As is the case with sequences of other objects, convergence is not necessary or even usual.\n",
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