急求英文翻译函数的幂级数展开是高等数学中的重要内容.幂级数是函数项级数中最基本的一类,它的特点是在其收敛区间上绝对收敛,且幂级数在收敛区间内可逐项微分和积分.基本初等函数在

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急求英文翻译
函数的幂级数展开是高等数学中的重要内容.幂级数是函数项级数中最基本的一类,它的特点是在其收敛区间上绝对收敛,且幂级数在收敛区间内可逐项微分和积分.基本初等函数在一定范围内都可以展开成幂级数,幂级数的展开方法有多种,利用函数的展开式常常能解决许多疑难问题.本文主要介绍幂级数展开式的三种常用方法和幂级数展开式的应用,并结合例题阐述了幂级数在各个方面应用中的技巧和方法.将函数展开成幂级数无论在理论研究方面还是在应用方面都有着重大的意义.
好好翻译 不要随便在线翻译 求术语 翻译 翻译的好的 加分!

Answer 1

Power series expansion of the function is an important part of higher mathematics . Power series is a basic progression of function series, which is characterized by absolute convergence in the convergence interval , and the power series can make the itemized differential and integral in its convergence range .Basic elementary functions within a certain range can be expanded into power series and its method is multiple.The use of the function expansion can often solve many difficult problems . This paper describes three of the power series expansion type and its commonly application , and describes the techniques and methods of power series in all aspects of application combined with the examples .It is of great significance that expanding function into power series expansion in terms of theoretical research and applications.