👉 Semicontinuous is a mathematical concept that refers to a function or mapping which has both continuous and discontinuous parts. It can be defined as a function that is continuous at every point of its domain, but also has a jump discontinuity (a sudden change) at some points. A function f(x) = 1/x is an example of a semicontinuous function because it is continuous everywhere except at x=0, where the function is not defined. However, it does have