Definition 4.9.1
Let
be a function defined on a neighborhood of
and let
be the curve whose equation is
, where
is a function defined on a neighborhood of
. The curve
is an asymptote to the graph of
if
.
Example 4.9.2
The parabola whose equation is
is an asymptote to the curve
named Neptune's trident and whose equation is
(see Figure
17)
Figure 17:
Neptune's trident.
