# How do you find the horizontal asymptote for #(x+3)/(x^2-9)#?

Since the degree (highest power) of the denominator (bottom) is greater than the degree of the numerator (top), the unique horizontal asymptote is

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To find the horizontal asymptote of the function ( \frac{x+3}{x^2-9} ), we examine the degrees of the numerator and denominator polynomials. Since the degree of the numerator is 1 and the degree of the denominator is 2, there is no horizontal asymptote. Instead, the function has a slant (oblique) 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.

- How do you find the Vertical, Horizontal, and Oblique Asymptote given #(2x^2-8)/(x^2+6x+8)#?
- How do you find the vertical, horizontal and slant asymptotes of: # (x-2)/(x^2-4)#?
- How do you find the Vertical, Horizontal, and Oblique Asymptote given #f(x)= (2x+1)/(x-1)#?
- How do you find the asymptotes for #(x-3)/(x-2)#?
- How do you find the inverse of #2x + 3y = 6#?

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