define parallel asymptote
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Definition. When a linear asymptote is not parallel to the x- or y-axis, it is called an oblique asymptote or slantasymptote.
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A rational function has at most one horizontal asymptote or oblique (slant) asymptote, and possibly many vertical asymptotes. The degree of the numerator and degree of the denominator determine whether or not there are any horizontal or oblique asymptotes.
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