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I'll start by showing you the
traditional method, but then I'll explain what's really going on and
show you how you can do it in your head. It'll be easy!
Given some polynomial guy
|
If
|
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, then the x-axis is the
horizontal asymptote.
|
 |
If |
 |
, then the
horizontal
asymptote is the line
. |
 |
If |
 |
, then there is no
horizontal asymptote.
(There is a
slant diagonal or
oblique asymptote.) |
Yeah, yeah, you COULD just memorize
these things... but it's way better to KNOW what's going on.
Then you can just do it.
What we're really doing is some quick
long division to divide the denominator into the numerator. The
cool thing is that we only need to do the first part -- no remainder
crud! And we can do it in our heads!
Continued on the
next
page
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