Epsilon-Delta Definition of Limit
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
One of the key concepts of calculus is the limit of a function. Informally, a function has a limit at a point if the value gets close to a fixed number as gets close to . This Demonstration illustrates a more formal definition of limit, usually referred to as the - definition. The arrangement of the sliders highlights the importance of the wording of the definition.
Contributed by: Ferenc Beleznay (June 2014)
Open content licensed under CC BY-NC-SA
Snapshot 1: is not yet small enough for the previously chosen
Snapshot 2: discontinuous function, but one-sided limits exist
Snapshot 3: a function with no limit (with zoom); for the on this snapshot, no works