In this video, we're gonna try to understand limits of composite functions, or at least a way of thinking about limits of composite functions. And in particular, we're gonna think about the case where we're trying to find the limit as x approaches a of f of g of x. And we're going to see under certain circumstances, this is going to be equal to f of the limit, the limit as x approaches a of g of x. And what are those circumstances you are asking? Well, this is going to be true if and only if two things are true. First of all, this limit needs to exist. So the limit as x approaches a of g of x needs to exist.