1. let (fn) be a sequence of functions on [0, 1| defined by nif n 0; if r =0 or z snt) suppose (sa)> f: then (a) lim j sa(a)da =0. (b) sf)du 0. (c (f.)f uniform

1. Let (fn) be a sequence of functions on [0, 1| defined by nif n 0; if r =0 or z SnT) Suppose (Sa)> f: Then (a) lim J SA(a)da =0. (b) Sf)du 0. (c (f.)f uniformly on [0, 1]. (d) fconverges uniformly on [0,1. 21 n 0