# How do you combine #1/(x-1) - x/(x-1)#?

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To combine 1/(x-1) - x/(x-1), we need to find a common denominator. The common denominator in this case is (x-1).

To combine the fractions, we can subtract the numerators while keeping the common denominator.

So, the combined expression is (1 - x)/(x-1).

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To combine ( \frac{1}{x-1} - \frac{x}{x-1} ), since the denominators are the same, you can combine the numerators over the common denominator:

[ \frac{1 - x}{x-1} ]

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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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