如果正项级数<img src="https://static.zxtiku.com/wangke/imgs/topic/6063f215de7f69cd00f11d06815718f1.png"/>收敛，而且数列<img src="https://static.zxtiku.com/wangke/imgs/topic/ada18a9f5fe3ef5aa6893bb2423c2866.png"/>单调，那么级数<img src="https://static.zxtiku.com/wangke/imgs/topic/c57b4637ebf728525444a61842639042.png"/>收敛。‎