👉 In mathematics, "vanishing" is a mathematical concept that refers to a property of functions or other mathematical objects where they do not change when their independent variable approaches a particular value. This means that as the independent variable (usually x) approaches a specific value from below or above, the function does not approach zero in either direction. For example, consider a function f(x) = 2x^3 - 4x^2 + 5x - 1. As x approaches infinity