Question

How do you find the horizontal asymptote for `(x^2 - 5x + 6)/ (x - 3)`?

Answer 1

There isn't one.

Explanation:

The rules for horizontal asymptotes:

When the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

When the degree of the numerator is the same as the degree of the denominator, there is a horizontal asymptote at `x=0`.

When the degree of the numerator is less that the degree of the denominator, there is a horizontal asymptote at the quotient of the leading coefficients.

Because, in this function, the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.