# How do you find the anti derivative of #(sqrtx -8)/(sqrtx-4)#?

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To find the antiderivative of (\frac{\sqrt{x} - 8}{\sqrt{x} - 4}), you can perform polynomial long division or use partial fraction decomposition to express the fraction in a form that is easier to integrate. Once the fraction is decomposed, integrate each term separately.

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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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