# What are the vertical and horizontal asymptotes of #f(x)=(3x-1)/(x+4)#?

Horizontal Asymptote:

Vertical Asymptote :

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The vertical asymptote of f(x)=(3x-1)/(x+4) is x=-4. There is no horizontal 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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