Finite Limit at Infinity

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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 (March 2011)
Open content licensed under CC BY-NC-SA
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"Finite Limit at Infinity"
http://demonstrations.wolfram.com/FiniteLimitAtInfinity/
Wolfram Demonstrations Project
Published: March 7 2011