What is the value of the limit lim (x → 2) (x^2 - 4)?

To determine the value of the limit as x approaches 2 for the expression (x^2 - 4), we can directly substitute the value of x into the expression because it is continuous at that point.

First, calculate (x^2) when (x = 2): [

2^2 = 4. ]

Now, substitute this back into the expression: [ x^2 - 4 = 4 - 4 = 0. ]

Thus, as x approaches 2, the expression approaches 0 as well.

In this case, the limit can be evaluated directly without any issues, confirming that the correct response is indeed 0. This represents the value of the limit as x approaches 2 for the given function.