# What are the asymptotes for # f(x)=4/(x+5)#?

x=-5. This is a vertical asymptote

f(x) has one vertical asymptote, x= -5

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The function ( f(x) = \frac{4}{x+5} ) has two asymptotes: a vertical asymptote at ( x = -5 ) and a horizontal asymptote at ( y = 0 ).

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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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