Extreme thought from the limited knowledge of infinite thinking methods. If some problems on the limit state and problems flexibly by solving extreme thought, can avoid abstract and complex operation, reduce the difficulty of solving optimization problem solving and ideas. Limit the nature - - - - - is infinite, and determine the outcome. Limit theory has high abstraction, widely applied and general guidance. Mathematical analysis is undergraduate professional basic course of mathematics, the mathematical analysis, this course of study object, and study is the function is the limit function method, mathematical analysis in almost all of the concept of limit, as all continuously and derivative, integral is defined by the limits of mathematical analysis, it will be all knowledge together. But limit is the basic mathematical analysis. So, we are very necessary to explore for pertinently the limit of some methods of mathematical analysis, ask questions related to the theoretical research and practical application has important significance of value.
The limit of the method are many, and very flexible, so study and summarizes the method is particularly important to the limit. Based on the existing knowledge system basis and classified, according to various forms of several main methods limit summarized, and the method of representative examples to explain the applicability and typicality, strive to achieve the original knowledge to stabilize and improve the purpose of mathematical analysis, this course and the subsequent courses more experience and understanding.
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