<PRE><B>Question 753709</B>
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1.  A rational function where the degree of the numerator is equal to the degree of the denominator has a horizontal asymptote at *[tex \LARGE y\ =\ \frac{p}{q}] where *[tex \LARGE p] is the lead coefficient of the numerator polynomial and *[tex \LARGE q] is the lead coefficient of the denominator polynomial.


2.  A rational function has a vertical asymptote at every vertical line *[tex \LARGE x\ =\ \alpha_i] where *[tex \LARGE \alpha_i\ \in\ \mathbb{R}] is a zero of the denominator polynomial.  Set the denominator polynomial equal to zero and solve for all real roots.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
&lt;font face=&quot;Math1&quot; size=&quot;+2&quot;&gt;Egw to Beta kai to Sigma&lt;/font&gt;
My calculator said it, I believe it, that settles it
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