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Rash Analysis

from Be Rational by icanhasmath

/

lyrics

Factor Top and Factor bottom,
Look for zeroes on the top!
Downstairs zeroes are restricted,
Continuity will stop.

Factor Top and Factor bottom,
Cancelation may occur.
Holes appear from points removed!
But cancelling builds character.

The limits at infinity are where you’ll find,
The horizontal asymptotes, but keep in mind:

It’s possible to cross an asymptotic guide,
Specifically the ones found lying on their side.

To find the limits at infinity,
just isolate the highest order terms:

One term on top and one on bottom,
Cancel common factors of them:
If no x is left then you are done.
But if an x is below then the limit must be zero,
x on top grows up to be infinity.

Factor Top and Factor bottom,
What you can’t remove will act,
As a strange mathematic fiction
When it’s zero, that’s a -

Factor Top and Factor bottom,
What you can’t remove, denote:
Two words sitting at the bottom,

Vertical and Asymptote.
Vertical and Asymptote.
Vertical and Asymptote!

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from Be Rational, released December 22, 2010

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icanhasmath Minneapolis, Minnesota

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