对一类和式极限计算公式与方法的改进  

Improvement of Calculating Formula and Method of a Sum Limit

作　　者：陆健[1] 

机构地区：[1]南通职业大学,南通226007

出　　处：《南通纺织职业技术学院学报》2014年第4期32-33,109,共3页Journal of Nantong Textile Vocational Technology college

基　　金：江苏省高等教育教学改革研究课题重点项目(编号2011JSJG085);南通职业大学教改研究青年专项课题(编号2013-QN-02)

摘　　要：针对有关一类常见的和式极限计算的研究结果,给出并证明了减弱条件后公式仍然成立的结论;进一步为在实际计算中避免高阶求导的复杂性,给出了幂级数展开、舍去余项的简便计算方法。Based on research findings of a common sum limit calculation,the paper draws and proves the conclusion that the formula is still workable under a weakened condition. Then it gives a simple way to carry out the expansion and the reminder rejection of power series in order to avoid the complexity of high order derivation in practical calculation.

关 键 词：和式极限 高阶导数 幂级数 余项 

分 类 号：O171[理学—数学]