# How do you find the limit #(x^3-6x-2)/(x^3-4)# as #x->2#?

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To find the limit of (x^3-6x-2)/(x^3-4) as x approaches 2, we substitute 2 into the expression:

(2^3-6(2)-2)/(2^3-4)

Simplifying this expression gives us:

(-2)/(8-4)

Which further simplifies to:

-2/4

And finally, the limit is:

-1/2

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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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