Question 1163183
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Such function  DOES  NOT  exist.



Therefore,  the requested example  CAN  NOT  be provided.



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<H3>More detailed explanation.</H3>

<pre>
    The statement  [ lim x --> 4 f(x) = 10 ]  means, by default, that the function f(x) is CONTINUOUS at x= 4. 
</pre>

Therefore, &nbsp;when you request to give 


<pre>
    an example of a function so that limx→4 𝑓(𝑥) = 10 but f(x) is discontinuous at x = 4
</pre>

your request &nbsp;DOES &nbsp;NOT &nbsp;MAKE &nbsp;SENSE.