Let (X,d) be a metric space. Take R with its Euclidean metric, e, and X×X with one of the canonical metrics on the Cartesian product. Prove that q:X×X→R+,(u,v)↦d(u,v) is continuous. Given metric spaces, (X,d) and (X0,d0), the function f:X→Y is uniformly continuous if and only if given any ε>0 there is a δ>0 with R0 whenever \( d(u,v) Get tutor help