The limit of g of x as x approaches three exists. So these are the one-sided limit. This is the actual limit. Now in order for this to exist, both the right and left-handed limits need to exist, and they need to approach the same value. Well this first statement, we saw that both of these exist, but they aren't approaching the same value. From the left, we are, sorry, from the right, we are approaching negative two, and from the left, we are approaching two. So this limit does not exist.