# How do you find the slant asymptote of #(x^3-1)/(x^2-9)#?

graph{(x^3-1)/(x^2-9) [-32.47, 32.47, -16.24, 16.24]}

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To find the slant asymptote of ( \frac{x^3 - 1}{x^2 - 9} ), perform polynomial long division to divide ( x^3 - 1 ) by ( x^2 - 9 ). The result will be the quotient plus a remainder over the divisor. The quotient will be the equation of the slant asymptote.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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