Final answer:
A fat fractal has a nonzero measure, so the length of the limiting set is greater than zero.
Step-by-step explanation:
A fat fractal has a nonzero measure, which means it has a positive length or area. To show that the length of the limiting set is greater than zero, we need to consider the properties of the fractal.
In the limiting case, as we take the limit of the sequence of fractal iterations, the length of the fractal will not be zero because each iteration adds some length to the previous iteration.
Therefore, the length of the limiting set of a fat fractal is greater than zero.