The limit on the left of the function f at a point c is the limit of f 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 ∊, there is a positive number δ so that if x is the domain of f and 0<c - x<δ then |f (x ) - L|<∊; denoted by . Also known as left-hand limit.