# What is the horizontal asymptote for #y=(x^2-x-6)/(x+4)#?

This function has an oblique asymptote

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The horizontal asymptote for ( y = \frac{x^2 - x - 6}{x + 4} ) is ( y = x - 1 ).

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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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