3.n≥19 999.
4.(1)单调递减,有界,极限为0; (2)单调递增,无界,无极限;
(3)非单调,无界,无极限;(4)非单调,有界,极限为1;
(5)非单调,有界,无极限.
6.x1=1,x2=,…,xn=,极限为0.