p级数的发散速度或收敛值域

Divergence Speed or Convergence Value Domain of p Series

关于p级数敛散性的判别,《数学分析》教材中已有明确的结论.需要进一步研究的问题是:当0<p≤1时,p级数发散的速度如何;当p>1时,怎样估计p级数的和.

There is already a clear conclusion in＂Mathematical Analysis＂textbook about pseries convergence discriminant.Further research are needed：When 0p≤1,diverges speed of pseries; When p1,how to estimate the pseries.