# How do you find the limit of #(x^2 +2)/(x^3-1) # as x approaches 0?

By substitution.

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To find the limit of (x^2 + 2)/(x^3 - 1) as x approaches 0, we can substitute 0 into the expression and simplify. By doing so, we get (0^2 + 2)/(0^3 - 1) = 2/(-1) = -2. Therefore, the limit of the given expression as x approaches 0 is -2.

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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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- What is the limit as x approaches infinity of #e^x#?

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