# How do you find the restrictions of #(x^3-2x^2-8x)/(x^2-4x)#?

These values will make the denominator 0.

The restrictions in this case will be any value(s) which make(s) the denominator equal to 0.

You can have 0 as a numerator, but not as a denominator.

These are the restrictions.

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To find the restrictions of the given rational function (x^3-2x^2-8x)/(x^2-4x), we need to determine the values of x for which the denominator is equal to zero.

Setting the denominator equal to zero, we have x^2-4x = 0. Factoring out an x, we get x(x-4) = 0.

This equation is satisfied when x = 0 or x = 4.

Therefore, the restrictions of the given rational function are x ≠ 0 and x ≠ 4.

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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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