对x的幂级数展开式为。

A .https://assets.asklib.com/psource/2015103008541736328.jpg B .https://assets.asklib.com/psource/2015103008543025282.jpg C .https://assets.asklib.com/psource/2015103008544162569.jpg D .https://assets.asklib.com/psource/2015103008545413665.jpg

A . A B . B C . C D . D

A . （-1，1） B . （-1，1） C . （3，7） D . （4，5）

A . （-1，1）B . （-2，2）C .https://assets.asklib.com/psource/2015103008555592511.jpg D . （-∞，+∞）

A . A B . B C . C D . D

A .https://assets.asklib.com/psource/2015102914171256962.jpg B .https://assets.asklib.com/psource/2015102914172646978.jpg C .https://assets.asklib.com/psource/2015102914174241489.jpg D .https://assets.asklib.com/psource/2015102914180033916.jpg

展开<img src='https://img2.soutiyun.com/ask/2021-01-25/980443643081271.png' />为x的幂级数，并推出<img src='https://img2.soutiyun.com/ask/2021-01-25/980443651467751.png' />

将<img src='https://img2.soutiyun.com/ask/2019-12-23/945953326688097.png' />展开成x-1的幂级数．

A．<img src='https://img2.soutiyun.com/latex/latex.action' /> B．<img src='https://img2.soutiyun.com/latex/latex.action' /> C．<img src='https://img2.soutiyun.com/latex/latex.action' /> D．<img src='https://img2.soutiyun.com/latex/latex.action' />

函数<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17671257/2015102914165070741.jpg' />在x=2处的泰勒级数展开式为（）． A．<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17671257/2015102914171256962.jpg' /> B．<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17671257/2015102914172646978.jpg' /> C．<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17671257/2015102914174241489.jpg' /> D．<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17671257/2015102914180033916.jpg' />

已知<img src='https://img2.soutiyun.com/ask/2020-12-01/975701179868315.png' />,求对应的序列x(n). [利用级数展开式<img src='https://img2.soutiyun.com/ask/2020-12-01/975701192867058.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' />

设函数f(x)在R＜|z-z₀|＜+∞的洛朗级数展开为 <img src='https://img2.soutiyun.com/ask/2021-01-15/979562084319703.png' /> <img src='https://img2.soutiyun.com/ask/2021-01-15/97956210208772.png' />

将函数f(x)=x(x-π)展开成以2π为周期的傅里叶级数,并回答: (I)级数在点x=±π和x=2π分别收敛于何值？(II)<img src='https://img2.soutiyun.com/ask/2021-01-11/979241771846486.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。