Epsilon-Delta Definition of Limit

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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


Snapshots


Details

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



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