a zero measure set still could have too many points -- could be inumerate number of points (i.e., more points than the number of rational numbers). For example, the Cantor set (http://en.wikipedia.org/wiki/Cantor_set). Therefore, it is impossible to 每点都证他收敛或不收敛

From what you wrote, I can tell that you were not a math major when you were in college. It is often funny (and a bit annoying) to read your posts. If you are really interested in math, it will be more useful to pick up a math text book to carefully study it.