# How do you find the limit of #(x+x^3-x^5)/(1-x^2-x^4)# as x approaches infinity?

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To find the limit of (x+x^3-x^5)/(1-x^2-x^4) as x approaches infinity, we can divide both the numerator and denominator by x^5. This gives us (1/x^4 + 1/x^2 - 1)/(1/x^5 - 1/x^3 - 1).

As x approaches infinity, all terms with x in the denominator tend to zero. Therefore, the limit simplifies to (0 + 0 - 1)/(0 - 0 - 1), which is equal to -1.

Hence, the limit of (x+x^3-x^5)/(1-x^2-x^4) as x approaches infinity is -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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