Von folgen und x1 n 1 n n a ˆ 1. G n n das war ja unsere urspr ungliche def. 1 lim n to infty int 0 1 f n x dx quad neq quad int 0 1 lim n to infty f n x dx 0 where we have use the fact that displaystyle lim n to infty f n x 0 and that the riemann and lebesgue integral coincide in this case.
