Author name: mathemerize

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