# How do you find one sided limits algebraically?

Let's examine some examples to show you why you should exercise caution when evaluating a one-sided limit when a quantity is approaching zero because its sign varies depending on which direction it is approaching zero.

(Warning: There are no limits when you have infinite limits.)

Here's another illustration that is comparable.

One can evaluate the situation as though it were a two-sided limit if no quantity is getting close to zero.

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To find one-sided limits algebraically, evaluate the function as the input approaches the desired value from the left or right side. If the function approaches a specific value from both sides, that value is the one-sided limit. If the function approaches different values from the left and right sides, the one-sided limits do not exist.

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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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