Review on the Convergence-Divergence Tests of Alternate Series
Qixing Zhang · Journal of Beijing Institute of Graphic Communication · 2011
The problem of convergence-divergence of series of infinite constant terms is accompanied by the problem of the sum of infinite numbers.The initial problem can be traced to the 5th century BC,and the true meaning of the theory of series emerges in the 17—18 century AD,the British mathe-matician Gregory J(1638—1675) gives the convergence and divergence two terms,this leads to study widely and deeply on the convergence-divergence test of series of infinite constant terms,and a lot of tests are presented.The results for the series of the positive terms are abundant relatively,but the results for the alternate series are inadequate.To show the latest achievements domestic overall profile of the convergence-divergence tests of the alternate series,as well as to provides some materials for further studying on the convergence-divergence tests of the alternate series,the review on the convergence-divergence tests of alternate series is presented.