Problem B [5 Extra Credit points]: Consider a metric space (X,dX) and (Y,dY), where X and Y are sets and dX and dY denote the metric on X and Y, respectively. Then, a function f:XY is said to be K-Lipschitz continuous if and only if there exists a real-valued constant K0 such that, for all x1 and x2 in X, we have: dX(x1,x2)dY(f(x1),f(x2))K Consider the metric spaces (Di,) for all i{1,,t+1}, where is the L2 norm metric. Suppose that the sequence of functions f1,,ft satisfies the property that fi:DiDi+1 is L-Lipschitz continuous for all i{1,2,,t}. Then, show that their composition (ftft1f1) is Lt-Lipschitz continuous