# What are the asymptotes of #f(x)=-x/((2x-3)(7x-1)) #?

vertical asymptotes at

horizontal asymptote at y = 0

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non-zero for these values then they are vertical asymptotes.

Horizontal asymptotes occur as

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The asymptotes of f(x)=-x/((2x-3)(7x-1)) are vertical asymptotes at x = 3/2 and x = 1/7, and 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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