Limit Inferior - Mathematics & Logic - Pure Mathematics Dictionary Definition For a sequence (a_n), the limit inferior, lim inf a_n, is lim_{n→∞} (inf_{k≥n} a_k). It equals the smallest subsequential limit and describes the least accumulation behavior as the index tends to infinity.
Limit Inferior - Mathematics & Logic - Pure Mathematics Dictionary Definition For a sequence (a_n), the limit inferior, lim inf a_n, is lim_{n→∞} (inf_{k≥n} a_k). It equals the smallest subsequential limit and describes the least accumulation behavior as the index tends to infinity.