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Infinite Limit at a Finite Point
In words, the definition of is that no matter how large is, you can find an interval of width around (perhaps with and very small), so that will be larger than as long as is in that interval. This Demonstration computes the largest and for a given . You can adjust using the slider. The values for and may be found automatically or manually by dragging your mouse.




"Infinite Limit at a Finite Point" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/InfiniteLimitAtAFinitePoint/
Contributed by: Abby Brown
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