# How do you combine #(x+2)/(5x^2)+(x+4)/(15x)#?

Adding fractions requires a common denominator.

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To combine the expressions (x+2)/(5x^2) and (x+4)/(15x), we need to find a common denominator. The common denominator for these two expressions is 15x^2.

To do this, we multiply the first expression by (3x)/(3x) and the second expression by (x^2)/(x^2).

After simplifying, we get (3x^2 + 6x + x^3 + 4x^2)/(15x^2).

Combining like terms, the final expression is (x^3 + 7x^2 + 6x)/(15x^2).

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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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