Let
be the graph of a function
defined on a neighborhood of
. we denote by
the point whose coordinates are
. Through
draw a line; suppose that this line intersects
at another point
. When
gets arbitrarily close to
, then the line
sometimes gets ``closer to a limit position'',
which will be called the tangent to
at
.
Actually , this is exactly what is yielded by the linear approxianmation of a function
at a point
(v.s. Definition 2.1):
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Noah Dana-Picard 2007-12-28