| 摘要: |
| 摘 要: Stolz定理是数学分析中解决
3
0
型和
3
∞
型极限的一个重要工具. 给出了其逆命题成立的一个充
要条件,并将其推广到函数形式,解决了一些问题,所得到的结论是对Stolz定理的进一步推广. |
| 关键词: 关键词: Stolz定理 数列形式 逆命题 充要条件 函数形式 |
| DOI： |
| 分类号: |
| 基金项目: |
|
| A converse proposition of the sequence form of Stolz theorem and its generalizations |
|
TUO Ya2lin
|
| Abstract: |
| Abstract: Stolz theorem is an important tool in the mathematical analysis to solve the limit of
3
0
and
3
∞
type.
Many scholars use differentmethods to p rove 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 p roposition
of the Stolz theorem, generalize it to the function form, and solve some p roblems. The conclusions of this paper is
the further generalization of the Stolz theorem. |
| Key words: Key words: Stolz theorem sequence form converse p roposition necessary and sufficient conditions function form |
