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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

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Snapshot 1: Select an .

Snapshot 2: Find a corresponding .

Snapshot 3: Close in on the limit.

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