Abel方法在级数解题中的几点应用

利用Abel和差变换公式与分部求和公式的技巧，根据问题的结构特征，探讨了Abel方法分别在级数求极限、级数不等式证明及求级数和中的几点应用；用阿贝尔求和法求出发散级数的广义和，跨出了求和由收敛级数到发散级数的一步。

Applications of Abel method to series solution

By applying skills of Abel summation and subtraction formulae and step summation formulae and according to structural characters of problems, some applications of Abel method to series beg to limit, series inequality proving and summation of series were probed into. In particular, by applying Abel summation method to obtain broad sense sum of divergence series,the calulation of summation was made from convergence series to divergence series.