👉 In mathematics, an indefectible function is a specific type of function that has been proven to be continuous (i.e., it does not have any discontinuities or infinite limits) on all its domain. This means that for every point in the domain, the value of the function at that point is the same as if we had taken the limit of the function as x approaches that point from either side. For example, consider a function f(x) = 2x^3 -