# Given #(u^4 + 3u + 6)^(1/2)# how do you find the limit as u approaches -2?

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To find the limit as u approaches -2 for the expression (u^4 + 3u + 6)^(1/2), we substitute -2 for u in the expression and simplify. This gives us (-2^4 + 3(-2) + 6)^(1/2), which simplifies to (16 - 6 + 6)^(1/2) = 16^(1/2) = 4. Therefore, the limit as u approaches -2 is 4.

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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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