# What are the asymptote(s) and hole(s), if any, of # f(x) =(x-1)/(x^4-1) #?

graph{1/((x+1)(x^2+1)) [-10, 10, -5, 5]}

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The function f(x) = (x-1)/(x^4-1) has a vertical asymptote at x = 1 and a hole at x = -1.

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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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