Finite Limit at a Finite Point

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 that interval. Move the point directly and adjust 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 .

THINGS TO TRY

SNAPSHOTS

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