数列上、下极限性质的推广应用

Extending and Applying the Properties of Limit Superior and Limit Inferior in Ordered Series of Numbers

现行教村各给予数列上、下极限的简单性质 ,本文通过研究数列上、下极限和函数之间的关系 ,推出数列上、下极限的新性质 。

The simple properties of limit superior and limit inferior in ordered series of numbers are provided in the current teaching materials. This paper introduces the new properties of limit superior and limit inferior in ordered series of numbers and the application of the properties through researches on the relationship between limit superior and limit inferior in ordered series of numbers.