# How do you find vertical, horizontal and oblique asymptotes for # f(x) = (x^2 - 9) / (x - 4)#?

The vertical asymptote is

The oblique asymptote is

No horizontal asymptote.

Let's do a long division

Therefore,

graph{(y-(x^2-9)/(x-4))(y-x-4)=0 [-52, 52, -26.03, 26]}

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The vertical asymptote is ( x = 4 ). The horizontal asymptote is ( y = x - 1 ). There are no oblique asymptotes.

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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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