# How do you simplify #x/(x+1) + (2x+1)/(x^2-1)#?

Simplified would be: 1 +

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To simplify the expression x/(x+1) + (2x+1)/(x^2-1), we first need to find a common denominator. The common denominator for these two fractions is (x+1)(x-1).

Next, we can rewrite the fractions with the common denominator:

x(x-1)/[(x+1)(x-1)] + (2x+1)/[(x+1)(x-1)]

Now, we can combine the fractions by adding the numerators:

[x(x-1) + (2x+1)]/[(x+1)(x-1)]

Expanding the numerator:

[x^2 - x + 2x + 1]/[(x+1)(x-1)]

Combining like terms:

[x^2 + x + 1]/[(x+1)(x-1)]

Therefore, the simplified expression is (x^2 + x + 1)/(x^2 - 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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