Examples for


A function is continuous at a point when the value of the function equals its limit. Discontinuities can be seen as "jumps" on a curve or surface. The sum, difference, product and composition of continuous functions are also continuous. Wolfram|Alpha can determine the continuity properties of general mathematical expressions, including the location and classification (finite, infinite or removable) of points of discontinuity.


Find where a function is continuous or discontinuous.

Determine whether a function is continuous:

Determine continuity at a given point:


Find where functions are discontinuous.

Locate discontinuities of a function: