👉 In mathematics, an irretraceable function is a function that cannot be uniquely expressed as the limit of a continuous function. This means that there are no other functions in the class of continuous functions that can represent it. For example, consider the function \( f(x) = \frac{1}{x} \), which is not continuous at x=0. However, if we define the function \( g(x) = \lim_{n\to\infty}\left(\frac{1