When we talk about the limit as x approaches 5, we are referring to the behavior of a function as the input values (x) get closer and closer to the value 5. This is also known as the limit of a function at a specific point.
In this context, "Right = 3" means that when x approaches 5 from the right (values greater than 5), the function approaches the value 3. This can also be written as "lim x→5+ f(x) = 3".
Similarly, "Left = 8" means that when x approaches 5 from the left (values less than 5), the function approaches the value 8. This can also be written as "lim x→5- f(x) = 8".
In this context, "Does Not Exist" means that the limit of the function at x=5 does not exist. This can happen when the left and right limits are not equal, or when the function has a discontinuity at x=5.
Since the left and right limits are not equal and the limit does not exist, we cannot determine the value of the limit as x approaches 5 in this case. More information about the function would be needed to determine the behavior at x=5.