The sharper criterions for convergence of positive series are Raabe criterion,Gauss criterion and Bertrand criterion.Based on the above convergence criterions,we give the unified form of the above convergence criterions, including the non-limit form,superior limit form and inferior limitform and the limit form,which is called k-Bertrand criterion.
Raabe criterionk-Bertrand criterionconvergence and divergence
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