How do you evaluate the limit #(w+6)/(w^2+8w+16)# as w approaches #-3#?
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To evaluate the limit as w approaches -3, substitute -3 for w in the expression (w+6)/(w^2+8w+16). This gives us (-3+6)/((-3)^2+8(-3)+16), which simplifies to 3/1 or 3. Therefore, the limit of (w+6)/(w^2+8w+16) as w approaches -3 is 3.
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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.
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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