Infinite Limit at a Finite Point

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