Review on the Convergence-Divergence Tests of Series of Infinite Constand Terms
Yongming Zhang · Journal of Beijing Institute of Graphic Communication · 2009
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 17th and 18th century AD,the British mathematician 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.Today,the study on the convergence-divergence test of series of infinite constant terms is still active,especially over the last decade,the domestic workers in mathematics give many new research results from different angles or for different types.In order to show the overall profile about the convergence-divergence test of the series of infinite constant series,and to provide some materials for further study at the same time,the convergence-divergence tests of the series of infinite constant series are organized by category and reviewed.