# What are the asymptotes of #f(x)=-x/((x-2)(x+3) #?

2 and -3

since asymptotes are the value that are invalid, and zero denominator is not possible, so equate the denominator to 0

(x-2)(x+3)=0 x= 2, -3

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The function f(x)=-x/((x-2)(x+3) has two vertical asymptotes at x=2 and x=-3. There are no horizontal 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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