For a value
(the limit from the left) and
(the limit from the right).
, the function is continuous at
, the function has a removable discontinuity at
, and both values are finite, the function has a jump discontinuity at
, and one or both values is infinite, the function has an infinite discontinuity at
. This is also called an essential discontinuity.
Ed Pegg Jr
THINGS TO TRY
the Wolfram Demonstrations Project
Ed Pegg Jr
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Riemann's Example of a Continuous but Nowhere Differentiable Function
Boole Differential Equation with Continued Fractions
Cauchy Mean-Value Theorem
Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
The Generalized Weierstrass-Riemann Functions
Riemann versus Lebesgue
Francisco J. Freniche
Edda Eich-Soellner (University of Applied Sciences, München, Germany)
Orbits of the Tent Function's Iterates
Bruce Atwood (Beloit College)
Haar Function Interval Points
High School Calculus and Analytic Geometry
High School Mathematics
High School Precalculus
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Step-by-step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2015 Wolfram Demonstrations Project & Contributors |
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have