Wolfram Demonstrations Project

The function

has a finite limit,

, as

. This means that for any

, there is a number

such that

implies

. Adjust ϵ using the slider and then adjust the value of

to in such a way that, to the right of the

vertical, the graph lies between

and

. The function shown is

Contributed by: Abby Brown

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Finite Limit at Infinity