# How do you express #(5x-1)/(x^2-x-2)# in partial fractions?

Factorize the denominator, then calculate the numerators of partial fractions.

First you find the zeroes of the denominator to factorize it.

Now pose:

Equating the coefficient of the same order in the numerators:

and solving the system:

thus:

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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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