👉 Semicontinuously is a mathematical concept that refers to a property of continuous functions. It means that a function f(x) is continuous at x=a if for every ε > 0, there exists a δ > 0 such that for any x in the domain of f and any number r > 0, we have |f(x) - f(a)| < ε whenever |x - a| < δ. This means that the function f is continuous at point a if it approaches its