Wolfram Demonstrations Project

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.

Contributed by: Abby Brown

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Infinite Limit at a Finite Point