Finite Limit at a Finite Point
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The function has a finite limit,
, as
. This means that for any
, there is an interval
of width
around
(perhaps with
and
very small), such that
whenever
is in the interval
. Move the point directly and vary
using the slider. This Demonstration computes the largest
and
for a given
so that
lies between
and
. The values for
and
may be found automatically or manually by dragging. The function shown is
.
Contributed by: Abby Brown (March 2011)
Open content licensed under CC BY-NC-SA
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