Find the required limit algebrically, if it exists. lim (x+3)/(x-3) if x approaches 4 ?
The limit exists and is equal to 7
I am not sure exactly what is meant by "algebraically" in the question. So I will try to show this by a couple of different approaches.
Method 1
Method 2
Now
if we choose
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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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