The Extension of Raabe Test for Uniform Convergence of Positive Term Series of Functions

Abstract: According root test, so root test was used as the basis and thus the Raabe test and Gauss test for uniform convergence for positive term series of functions are extended into a root style, and the new tests thus obtained are more effective than the original tests, which help enrich the covergence technique of positive term series of functions. Finally, examples are taken to show the effectiveness of the show ew tests.