# For what values of x, if any, does #f(x) = 1/((x+8)(x-7)) # have vertical asymptotes?

Vertical asymptotes:

The vertical asymptotes are found when the denominator of the function becomes zero.

To find the Vertical asymptote we equate the denominator to zero.

Using zero product rule we get

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The function f(x) = 1/((x+8)(x-7)) has vertical asymptotes at x = -8 and x = 7.

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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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