No. 11 For each n 2 0, suppose that a function fn : R -> R, is nondecreasing on R, and that fo is continuous on R. Then, show that the following (a) and (b) are equivalent. (a) fn > f uniformly in x E [0, 1]. (b) For ay sequence {In}n>0 C [0, 1] sucht that In -> x0 (n -+ 0), fn(In) + fo(zo), n -+ 0