# How do you write the partial fraction decomposition of the rational expression #(9x)/(9x^2+3x-2)#?

The answer is

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To find the partial fraction decomposition of the rational expression (9x)/(9x^2+3x-2), you first factor the denominator polynomial. Once factored, you express the original expression as a sum of simpler fractions with undetermined coefficients.

The denominator can be factored as (3x - 2)(3x + 1).

Therefore, the partial fraction decomposition is:

(9x)/(9x^2+3x-2) = A/(3x - 2) + B/(3x + 1)

where A and B are constants to be determined.

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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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