Finite Limit at a Finite Point

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The function has a finite limit, , as . This means that for any , there is an interval of width around (perhaps with and very small), such that whenever is in the interval . Move the point directly and vary using the slider. This Demonstration computes the largest and for a given so that lies between and . The values for and may be found automatically or manually by dragging. The function shown is .

Contributed by: Abby Brown (March 2011)
Open content licensed under CC BY-NC-SA



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