# How do you find a one sided limit for an absolute value function?

As you can see, the absolute value function's primary use is to return a non-negative number regardless of the value of x that is selected. Therefore, in order to evaluate a one-sided limit, we need to determine which version of this function is suitable for our particular question.

Finding the version of the absolute value function that has negative values near that point is necessary if the limit we are looking for is approaching from the negative side. For instance:

If we were to dissect this function into its component parts, we would obtain:

Now that we have the right version of the absolute value function in our limit problem, we would have:

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To find a one-sided limit for an absolute value function, evaluate the function separately for each side of the limit. For the left-hand limit, approach the given value from the left side, and for the right-hand limit, approach from the right side. Substitute the value into the function and simplify the expression.

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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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