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
Permanent Citation