11 if rs! Let (f be a sequence of functions f,: 0, 1] R defined by f.(r)= Then 1515 1. , converges to 0 pointwisely on 0, 1] since f converges to 0 pointwisely. 2. fa converges to f 0 uniformly on 0,...

Extracted text: 11 if rs! Let (f be a sequence of functions f,: 0, 1] R defined by f.(r)= Then 1515 1. , converges to 0 pointwisely on 0, 1] since f converges to 0 pointwisely. 2. fa converges to f 0 uniformly on 0, 1] and thus fn (r)dr converges to f(r)dr. 3. f, converges to 0 pointwisely on 0, 1] but not uniformly. 4. fa doesn't converge pointwisely to 0 on (0, 1). 1 e Page