# How do you evaluate #x / sqrt (4x^2 + 2x +1) # as x approaches negative infinity?

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As x approaches negative infinity, the expression x / sqrt(4x^2 + 2x + 1) can be evaluated by considering the dominant term in the denominator. In this case, the dominant term is 4x^2. As x approaches negative infinity, 4x^2 also approaches positive infinity. Therefore, the expression x / sqrt(4x^2 + 2x + 1) approaches 0.

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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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