9772

Epsilon-Delta Definition of Limit

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.

SNAPSHOTS

  • [Snapshot]
  • [Snapshot]
  • [Snapshot]

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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