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On advanced mathematics series!
The series Vn converges (the sum function of the series Un has a limit, and the inequality shows that the sum function of the series Un has an upper limit (the constant does not affect it). In addition, as a positive series, its sum function is bounded, so the series UN converges (theorem: necessary and sufficient condition for the convergence of positive series-its sum function is bounded). In addition, for any constant c (C(C>0), there is indeed the case of UN > VN, but if you go along this road, you will find that you can't do it. Because large series is larger than small series, small series converges, and large series may converge or diverge. So ... you should find another way.