To evaluate: The value of .
The limit of the function is –4.
An absolute function is defined as follows.
Obtain the value of the limit of the function .
Consider the function .
From the definition of absolute function,
This follows that,
This implies that, is defined in the interval as x approaches zero.
When x approaches 0, then is negative. That is, . for .
Similarly, when x approaches 0, then is positive. That is, . for .
Thus, the function is defined as x approaches zero.
Take the limit of the function as x approaches zero.
Thus the value of the limit of the function is –4.
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