Function continuity means that the limit is consistent with the function value.

In mathematics, function continuity is an important concept. When we say that a function is continuous at a certain point, it means that the limit of that point is equal to the actual value of that point. In other words, when the independent variable approaches this specific point, the function value will also approach the same value. This definition ensures that there is no mutation or jump, so that we can operate it smoothly and seamlessly.