| http://www.w3.org/ns/prov#value | - Again: the limit inferior of the $B_n$ consists of the elements that are in all, except perhaps for finitely many, of the $B_n$. $0$ is in NONE of the $B_n$, so it cannot be in the limit inferior; and no number is in more than one $B_n$, so no number is in the limit inferior.
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