A Case of the Epsilon-Delta Definition of a Limit
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From the intuitive notion of a limit, if , then
can be made as close to
as desired simply by finding an
that is sufficiently close to
. The formalized version of this is the
definition of a limit. In this case
. Select a value for
and you can find a corresponding
so that, if
, then
.
Contributed by: Joseph F. Kolacinski (October 2007)
(Elmira College)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Snapshot 1: Select an .
Snapshot 2: Find a corresponding .
Snapshot 3: Close in on the limit.
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