Here are the rules:

- If the degree of is less than the degree of , then the limit is 0.
- If the degree of and are the same, then divide the coefficients of the terms with the largest exponent to get the limit.
- If the degree of is greater than the degree of , then the limit is either or depending on the signs of polynomials. If both the coefficients of the largest exponent are either negative or both positive, then the limit is . Otherwise, the limit is .

Here is an example of Rule 1 (click here):

Here is an example of Rule 2 (click here):

Here is an example of Rule 3 (click here):

Rational functions are easy to solve as long as you remember those three rules. Next post, we will talk about L’Hopital’s rule.

Until next time,

Leah

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