We are given,
Evaluating 
When, 
![\[ = \mathop {\lim }\limits_{x \to 5} (x - 5)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-4d04913d5e20f8ad22d5305d702e3f6c_l3.png "Rendered by QuickLaTeX.com")
![\[ = 5 - 5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-fe6e84cba9d31b79b465a101275e0357_l3.png "Rendered by QuickLaTeX.com")
![\[ = 0\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-1c1987a4446b1f0c8901d2f0e7145ca0_l3.png "Rendered by QuickLaTeX.com")
And when,
![\[\mathop {\lim }\limits_{x \to {5^ + }} f(x) = \mathop {\lim }\limits_{x \to {5^ + }} |x| - 5\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-458b3454967e820150f40edd574a29d8_l3.png "Rendered by QuickLaTeX.com")
Therefore,
![\[\mathop {\lim }\limits_{x \to {5^ - }} f(x) = \mathop {\lim }\limits_{x \to {5^ + }} f(x) = \mathop {\lim }\limits_{x \to 5} f(x) = 0\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-254a4725580a3895010a71f15c60ba2f_l3.png "Rendered by QuickLaTeX.com")
.
Find
We are given,
Evaluating
When,
And when,
Therefore,
.