I don't get how can it not have an oblique assympotete
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If the denominator is a factor of the numerator there is no OA.

For example: y=(x²-1)/(x-1), y=(x²+3x)/x. These functions have a “hole” but no OA.

IN GENERAL

For a quadratic numerator:

y=(ax²+bx-bc-ac²)/(x-c), where a, b and c are arbitrary constants and a≠0.

by Top Rated User (816k points)

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