Limit of a Function at a Point

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A function assigns a value given any point . We say that a function has a limit at a point if gets closer and closer to as moves closer and closer to . A more formal definition of is: for each , there exists a such that whenever . Note that depends on : "You give me an and I'll find you a ".

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The graphic enables you to examine the limit of as approaches 2. The limit is equal to 3. Note the interplay between the values and , as described above.

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Contributed by: Quinn Morris (September 2016)
Open content licensed under CC BY-NC-SA


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