1. Section 12.4

2. Limits at Infinity and Limits of a Sequence
If the graph has a horizontal asymptote, then the limit as x approaches infinity or negative infinity is the horizontal asymptote.
If the largest exponent is in the denominator, then the horizontal asymptote is y = 0. This means the limit as x approaches infinity or negative infinity is 0.

3. Limits at Infinity and Limits of a Sequence
If the largest exponent in the numerator and denominator are the same, then the horizontal asymptote is
y = (leading coefficient)/(leading coefficient)
This is also the limit as x approaches infinity or negative infinity.

4. Limits at Infinity and Limits of a Sequence
If the largest exponent is in the numerator, then there is not a horizontal asymptote. This means that the limit as x approaches infinity or negative infinity is either infinity or negative infinity depending on the leading coefficient.

5. Limits at Infinity and Limits of a Sequence
Since a sequence goes on for infinity, the limit of a sequence is the same as the limit as x approaches infinity.