[`lim·ǝt]
MATHEMATICS A function f (x ) has limit L as x tends to c if given any positive number ∊ (no matter how small) there is a positive number δ such that if x is in the domain of f, x is not c, and x - c δ, then f (x ) - L < ∊; written
A sequence {an:n = 1, 2,...} has limit L if given a positive number ∊ (no matter how small), there is a positive integer N such that for all integers n greater than N, an - L ∊.
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