Please Help Quick!! Need full work shown!

limit does not exists.

Step-by-step explanation:

From the given graph it is clear that the function approaches to 4 when x is approaches to 2 from left. So,

The function approaches to -4 when x is approaches to 2 from right. So,

Now,  

Since, left hand limit is not equal to right hand limit, therefore, limit does not exists.

thats not a system of equations, that is a solution