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Unformatted text preview: x = c . Depending on the degree of the numerator and the denominator, it is possible to have horizontal or slant/oblique asymptotes . If f ( x ) = p ( x ) q ( x ) = a n x n + a n-1 x n-1 + + a 1 x + a b m x m + b m-1 x m-1 + + b 1 x + b , then (1) If n < m then the x-axis ( y = 0) is a horizontal asymptote. (2) If n = m then y = a n b n is horizontal asymptote. (3) If n = m + 1 then a slant (oblique) asymptote ( which is found by polynomial division). (4) If n > m + 1, there is no horizontal asymptote. 1...
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- Spring '10