limit on the left

limit on the left

[′lim·ət ȯnthə ′left]
(mathematics)
The limit on the left of the function ƒ at a point c is the limit of ƒ at c which would be obtained if only values of x less than c were taken into account; more precisely, it is the number L which has the property that for any positive number ε, there is a positive number δ so that if x is the domain of ƒ and 0 <>c-x) < δ="" then="">x) -L | < ε;="" denoted="" by="" also="" known="" as="" left-hand="">