So if we do the left-handed limit, and that's especially useful because we're in these different clauses here as we approach from the left and the right-hand side. So as x approaches one from the left-hand side of g of x, well we're gonna be falling into this situation here as we approach from the left, as x is less than one. So this is going to be the same thing as that. That's what g of x is equal to when we are less than one as we're approaching from the left. Well this thing is defined and it's continuous for all real numbers, so we can just substitute one in for x and we get this is equal to zero. So so far so good, let's do one more of these. Let's approach from the right-hand side as x approaches one from the right-hand side of g of x.