急啊!!哪位英语专业的同学帮我翻译一下论文的摘要??

来源:百度知道 编辑:UC知道 时间:2024/07/01 06:26:54
马上要答辩了,但是摘要翻译没过关,在网上的在线翻译没有用。请哪位好心人帮我翻译一下,本人将不胜感激!!!!!!
微分中值定理和泰勒公式
【摘要】本文通过费马定理引出罗尔中值定理,再构造辅助函数对拉格朗日中值定理和柯西中值定理进行证明。利用微分中值定理(罗尔定理,拉格朗日定理,柯西定理)解决一些导数和极限的问题。通过多项式来逼近函数,从而得到带有佩亚诺型余项和拉格朗日余项的泰勒公式,利用初等函数的麦克劳林展开式来解决极限及近似求值的问题。通过本文的学习,要求熟练掌握微分中值定理和泰勒公式的证明,运用定理结论来解决一些与之相关的问题,使能够明确了解此类问题的解题思路。
【关键词】微分中值定理 泰勒公式 导数 余项

【Summary 】This text draw Luol, hit the intersection of value and theorem through the intersection of fee and the intersection of horse and theorem, construct, assist function to hit the intersection of value and theorem while being Lagrangian and then and Cauchy hit the intersection of value and theorem go on, prove. Utilize the value theorem (Luol's theorem, Lagrangian theorem, Cauchy's theorem) in the differential to solve some derivatives and terminal problems. Approach the function by multinomial, thus get formula of Taylor who wears inferior promise type residue and Lagrangian residue, utilize the launching type of McLaurin of the elementary function to solve the terminal and problem similar to evaluation. Through the study herein, demand to know the identification of value theorem and Taylor's formula in the differential skillfully, use the intersection of theorem and conclusion solve some correlated to it problem, make, can understand thinking of solving a problem