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
Orbits of the Tent Function's Iterates
Haar Function Interval Points
Series: Steps on a Number Line
Abby Brown and MathematiClub (Torrey Pines High School)
Examples of Fourier Series
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