Continuity

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

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