## Types of Discontinuities – Removable and Nonremovable

Discontinuity : The function f(x) will be discontinuous at x = a in either of the following situations and it has the following types of discontinuities discusses below : 1. $$\displaystyle{\lim_{x \to a^-}}$$ f(x) and $$\displaystyle{\lim_{x \to a^+}}$$ f(x) exist but are not equal. 2. $$\displaystyle{\lim_{x \to a^-}}$$ f(x) and $$\displaystyle{\lim_{x \to a^+}}$$ exist and are equal …