应用级数乘积,将下列函数展成麦克劳林级数:

<img src='https://img2.soutiyun.com/ask/2020-12-22/977479103761578.png' />

A．部分和数列有界 B．部分和数列极限为零 C D．都收敛

<img src='https://img2.soutiyun.com/ask/2020-12-10/976481945992252.png' />

是 否

将函数<img src='https://img2.soutiyun.com/shangxueba/ask/18747001-18750000/18749367/2016071617013646896.jpg' />，在［-π，π］上展开成傅里叶级数，其形式为<img src='https://img2.soutiyun.com/shangxueba/ask/18747001-18750000/18749367/2016071617014226431.jpg' />（）<img src='https://img2.soutiyun.com/shangxueba/ask/18747001-18750000/18749367/2016071617014996704.jpg' /> A．A B． B C． C D． D

<img src='https://img2.soutiyun.com/ask/2020-08-06/965551122439113.png' />

将下列函数展开成(x-3)的幕级数： <img src='https://img2.soutiyun.com/ask/2020-08-12/966088220653753.png' />

将函数<img src='https://img2.soutiyun.com/ask/2020-12-14/97678986011847.png' />展开成简单幂级数,并指出它收敛的区间.

将下列各周期函数f(x)展开成傅里叶级数，如果f(x)在一个周期的表达式为： <img src='https://img2.soutiyun.com/ask/2021-01-14/979481711875738.jpg' />

A．A.＜1/10 B．B.＜1/100 C．C.＜1/n D．D.＜1/x^n的绝对值

将下列函数展成麦克劳林级数(可用已知的展开公式): <img src='https://img2.soutiyun.com/ask/2020-11-13/974119543727273.png' />

将函数<img src='https://img2.soutiyun.com/ask/2021-01-15/979555393083986.png' />展成幂级数.

<img src='https://img2.soutiyun.com/ask/2020-08-21/966869110386338.png' />

将函数<img src='https://img2.soutiyun.com/ask/2020-08-10/96591628820966.png' />展开成关于x-1的泰勒级数。