# How do you evaluate the limit #w/(1/(-1+w)+1)# as w approaches #0#?

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To evaluate the limit of w/(1/(-1+w)+1) as w approaches 0, we can simplify the expression first. By multiplying the numerator and denominator by (-1+w), we get (-w^2 + w)/(1-w).

Next, we can factor out a w from the numerator, giving us w(-w + 1)/(1-w).

Since w is approaching 0, we can substitute 0 into the expression, resulting in 0(-0 + 1)/(1-0) = 0/1 = 0.

Therefore, the limit of w/(1/(-1+w)+1) as w approaches 0 is 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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