To evaluate the limit of (x^2 - 64) / (x + 8) as x approaches -8, we can substitute -8 into the expression to see what it approaches.
(x^2 - 64) / (x + 8) = (-8^2 - 64) / (-8 + 8) = (64 - 64) / 0
We obtain an indeterminate form of 0/0, which means we need to further simplify the expression before finding the limit.
Factoring the numerator, we have:
(64 - 64) / 0 = 0 / 0
Simplifying the numerator:
0 / 0 = 0
Therefore, the limit of (x^2 - 64) / (x + 8) as x approaches -8 is 0.