**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? | ? | , 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!**

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