A converse proposition of the sequence form of Stolz theorem and its generalizations
Tuo Ya-lin · Journal of Chongqing Technology and Business University · 2009
Stolz theorem is an important tool in the mathematical analysis to solve the limit of*/0and*/∞ type. Many scholars use different methods to prove the Stolz theorem,and from different directions to generalize a series of important research results. In this paper,we set up a necessary and sufficient condition of the inverse proposition of the Stolz theorem,generalize it to the function form,and solve some problems. The conclusions of this paper is the further generalization of the Stolz theorem.