# What are the asymptotes for # g(x)= (x^3+1)/(x+1)#?

with exclusion

The polynomial

The sum of cubes identity is:

So

So

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The function g(x) = (x^3 + 1)/(x + 1) has a vertical asymptote at x = -1 and 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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