👉 In mathematics, a discontinuous function is one that has jumps or skips in its values at specific points. These jumps are often referred to as discontinuities or holes. In other words, a discontinuous function behaves differently at different points than a continuous function.
For example, consider the function f(x) = x^2 + 1/x^2 on the interval [-1, 1]. This function is discontinuous because it has jumps at the points (-1, 0), (
discontinuous