# How do you simplify #(x+1)/x - x/(x+1)#?

I am not sure what is meant by simplified here, but we can find:

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To simplify the expression (x+1)/x - x/(x+1), we need to find a common denominator. The common denominator is x(x+1).

Multiplying the first fraction (x+1)/x by (x+1)/(x+1), we get (x+1)^2/(x(x+1)).

Multiplying the second fraction x/(x+1) by x/x, we get x^2/(x(x+1)).

Now, we can subtract the two fractions: (x+1)^2/(x(x+1)) - x^2/(x(x+1)).

Combining the fractions, we have [(x+1)^2 - x^2]/(x(x+1)).

Expanding the numerator, we get (x^2 + 2x + 1 - x^2)/(x(x+1)).

Simplifying further, we have (2x + 1)/(x(x+1)).

Therefore, the simplified expression is (2x + 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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