Question 987337
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Horizontal asymptotes of rational functions:


If the degree of the denominator polynomial is greater than the degree of the numerator polynomial, then the horizontal asymptote is the *[tex \Large x]-axis.


If the degree of the denominator polynomial is equal to the degree of the numerator polynomial, then the horizontal asymptote is the line *[tex \Large y\ =\ \frac{a}{b}] where *[tex \Large a] is the lead coefficient of the numerator polynomial and *[tex \Large b] is the lead coefficient of the denominator polynomial.


If the degree of the denominator polynomial is less than the degree of the numerator polynomial by 1, then there is an oblique asymptote for which the equation is *[tex \Large y\ =\ q(x)] where *[tex \Large q(x)] is the quotient of the numerator polynomial divided by the denominator polynomial excluding any remainder. 


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it

*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \