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Mathematics
General Math
(conceptual) question about asymptotes
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[QUOTE="Mark44, post: 5449431, member: 147785"] From "numerator has to have a higher power" I assume you're talking about rational functions, which are quotients of polynomials. If the degree of the numerator (function on top) is one larger than the degree of the denominator (function on bottom), there is an oblique asymptote. (If the degree of the numerator is larger by two or more, there is no straight line asymptote.) If the degree of the denominator is equal to the degree of the numerator, there is a horizontal asymptote that is either above or below the horizontal axis. Its equation is ##y = \frac{a_n}{b_n}##, where ##a_n## is the coefficient of the highest degree term in the numerator, and ##b_n## is the coefficient of the highest degree term in the denominator. If the degree of the numerator is less than that of the denominator, the x-axis is the horizontal asymptote. [/QUOTE]
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(conceptual) question about asymptotes
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