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,

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.