>>12525897but this sequence don't need to have covergence in any point. For example if X = [0,1], and f_1(x)=1 for x in [0,1], f_2(x)=1 for x in [0,1/2] and f_2(x)=0 for other x, f_3(x)=1 for x in [1/2,1] and 0 for other x, f_4(x)=1 for x in [0,1/3] and 0 for other x, f_5(x)=1 for x in [1/3,2/3] and 0 for other x etc... if covergent in messute to f(x)=0 for x in [0,1], but don't have pointwise limit for any x.
