A probability measure can be expressed as the sum of a singular measure and a measure with a kind of this property according to Lebesgue’s decomposition theorem. In a compact set, the Heine–Cantor theorem presents a statement about functions with this property that can be used to prove Cauchy’s Theorem. One can prove that a sequence of functions converges (15[1])to one with this property by applying the Weierstrass M-test and uniform limit theorem together. (-5[1])An integral with non-infinite integrands is (*) improper if this property does not hold for at least one point in the interval of integration. Functions that scale distances by at most a constant factor demonstrate a strong form of this property named for Lipschitz. For 10 points, name this property that holds at a limit point if and only if the limit as the function approaches the limit point is equal to the function’s value at the limit point. (10[1])■END■ (10[1])