# How do you write the partial fraction decomposition of #(2x^3-x^2+x+5)/(x(x+1)^2)#?

The answer is

Now, we perform the long division

Therefore,

We can make the partial fraction decomposition

So,

Finally we get

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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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