Heine定理在极限判别及运算中的应用

Application of Heine theory in limit judgment and calculation

在极限判断与求解中,函数极限与数列极限有许多类似之处,Heine定理就是联系这二者的纽带。结合工科数学分析教学实践,通过实例介绍Heine定理在优化极限判断及运算中的应用,给出了Heine定理在极限运算中的优越性。

In limit judging and solution, the function limit has many similarities with row limit. The theory of Heine is the fie to link the two. This article explores the application in using theory of Heine to judge whether the limit or not to answer questions, and shows advantages of Heine theory in the limif calcnlation with the practice teaching of mathematical analysis for engineering.