is the function given below, continuous slash differentiable at x equals one, and they define the function g piecewise right over here, and then they give us a bunch of choices, continuous but not differentiable, differentiable but not continuous, both continuous and differentiable, neither continuous nor differentiable. And like always, pause this video and see if you could figure this out. So let's do step by step. So first let's think about continuity. So for continuity, for g to be continuous at x equals one, that means that g of one, that means that g of one must be equal to the limit as x approaches one of g, of g of x. Well g of one, what is that going to be? G of one, we're gonna fall into this case, one minus one squared is going to be zero.