Let A:= (0, 1] and let f : A → R be defined by f(x) = !. Prove that f is continuous on A. %3D Let D := [0, 1] and let f : D → R be the function defined by f(x) = Vĩ. Show that f is uniformly...

Extracted text: Let A:= (0, 1] and let f : A → R be defined by f(x) = !. Prove that f is continuous on A. %3D Let D := [0, 1] and let f : D → R be the function defined by f(x) = Vĩ. Show that f is uniformly continuous on D but not Lipschitz there. %3D Determine whether the given function is differentiable at the indicated point(s). (a) h(x) = x|x| at c= 0. (b) k(x) = |x| + |x – 1| at c = 0 and c2 = 1. %3D