Define the function g on R according to the following properties, where we use that Z+1/2 = {k +1/2 :keZ}. (i) g(x) = 0 for r EZ + 1/2. (ii) For all k E Z we put g(x) = x - k for r E (k - 1/2, k + 1/2). Next, define the function f on R by setting f(x) = g(nx) n2 n=1 (Click here for a visual representation of this function.) (a) At what points is the partial sum En=1 g(nr)2 continuous? At what points are all such partial sums continuous