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英语翻译连续函数在数学分析中有着举足轻重的作用,它为数学分析的学习奠定了扎实的基础.数学分析中主要研究的对象就是函数,可

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英语翻译
连续函数在数学分析中有着举足轻重的作用,它为数学分析的学习奠定了扎实的基础.数学分析中主要研究的对象就是函数,可以说连续函数性质的应用贯穿于整个数学分析的理论中.本文总结了关于函数的连续性与连续函数的若干问题,首先给出了函数的连续性及连续函数的定义;其次介绍了连续函数的几个性质,其中包括有界性、介值性等;最后把这些性质应用到实际的问题中.
Continuous function in mathematical analysis has a pivotal role in the study of mathematical analysis it has laid a solid foundation. Mathematical analysis is the main function of the object of study can be said that the nature of the application of a continuous function throughout the theory of mathematical analysis. This paper summarizes the continuity on the function of a number of issues with the continuous function, the first function is given the definition of continuity and continuous functions; next introduced several properties of continuous functions, including boundedness, intermediate value property, etc.; Finally, these properties apply to real problems