Assertion: limit | /r/CapableOf | limit superior
Facets:
Source sentences:
text: Whenever the ordinary limit exists, the limit inferior and limit superior are both equal to it; therefore, each can be considered a generalization of the ordinary limit which is primarily interesting in cases where the limit does not exist.
text: As in the case for sequences, the limit inferior and limit superior are always well-defined if we allow the values +∞ and -∞; in fact, if both agree then the limit exists and is equal to their common value (again possibly including the infinities).
text: If the limit inferior and limit superior agree, then there must be exactly one cluster point and the limit of the filter base