# What are the asymptotes of #f(x)=-x/((2x-3)(4x-8)) #?

Asymptotes are

For horizontal asymptotes,

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The function f(x)=-x/((2x-3)(4x-8)) has two vertical asymptotes at x=3/2 and x=2. 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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