Definition of Continuity

In the applet below, we are testing if the function f is continuous at x = C, \varepsilon is how close to f(C) you want the function values to be, and \delta is the width of the interval around C such that all values of f on that interval are "close to the function value" (that is, within \varepsilon of f(C)). You may adjust the values of C, \delta, and \varepsilon by clicking on and dragging the corresponding points.

Stemkoski and Storm, Created with GeoGebra