# Continuity

## Intermediate Value Theorem Example and Statement

Here, you will learn intermediate value theorem example and statement and single point continuity. Intermediate Value Theorem Example with Statement Statement : Suppose f(x) is continuous on an interval I, and a and b are any two points of I. Then if $$y_0$$ is a number between f(a) and f(b), there exist a number c …

## Definition of Continuity of a Function

This tutorial is for you if you are searching for – “Definition of Continuity of a function, Discontinuity and Missing Point Discontinuity.” Let’s begin – Continuous Functions A Function for which a small change in the independent variable causes only a small change and not a sudden jump in the dependent variable are called continuous …

## 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 …