# How do you find the limit of #((x^2 +2)/(x^3-1)# as x approaches infinity?

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To find the limit of ((x^2 +2)/(x^3-1) as x approaches infinity, we can use the concept of limits. By dividing both the numerator and denominator by x^3, we can simplify the expression to (1/x + 2/x^3)/(1 - 1/x^3). As x approaches infinity, 1/x and 2/x^3 both approach 0, and 1 - 1/x^3 approaches 1. Therefore, the limit of ((x^2 +2)/(x^3-1) as x approaches infinity is 0/1, which simplifies to 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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