12楼: Originally posted by hank612 at 2013-07-27 03:03:15
I would like to reply in english, as slow in typing chinese.

all of these will be the application of Lebesgue’s Dominated Convergence Theorem.

1)
Int = Int
where f_n(x)= Character(x, ) *   ...

2楼: Originally posted by lynzhung at 2013-07-23 14:59:32
1,2,3，错，其余都对。
1,2错的理由是0测集不是空集，比如{1}的Lebsgue测度为0 ，但是显然不是空集。
测度为0的集合元素可以是可数或者不可数个。
3，在0点附近不可以积分。
计算，直接使用Lebesguage控制收敛定 ...