# What is the limit of #(x^2 + 2) / (x^3 + x^2 -1)# as x approaches negative infinity?

Therefore the expression approaches zero at negative infinity. graph{(x^2+2)/(x^3+x^2-1) [-10.25, 9.75, -5, 5]}

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The limit of (x^2 + 2) / (x^3 + x^2 -1) as x approaches negative infinity is 0.

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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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