若级数发散，则的敛散性为（）。

A . 收敛B . 收敛且和为https://assets.asklib.com/images/image2/201705111511114429.jpg C . 因一般项不趋于零而发散D . 发散，但一般项趋于零

A . 条件收敛 B . 绝对收敛 C . 发散 D . P≤1条件收敛，P>1绝对收敛

A . 必在x=-3处发散 B . 必在x=2处收敛 C . 必在｜x｜>3时发散 D . 其收敛区间为[-2，3）

设<img src='https://img2.soutiyun.com/ask/2020-12-14/976812927934874.png' />且<img src='https://img2.soutiyun.com/ask/2020-12-14/976812935497307.png' />收敛,则对于任意正数p,级数<img src='https://img2.soutiyun.com/ask/2020-12-14/976812944562825.png' />(). A.绝对收敛 B.条件收敛 C.发散 D.敛散性与p有关

B、当p时收敛

A．绝对收敛 B．条件收敛 C．发散 D．不确定

<img src='https://img2.soutiyun.com/ask/2021-01-28/980678025275884.png' />

若级数<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17671850/2015102616224486454.jpg' />a_n发散，<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17671850/2015102616224486454.jpg' />b_n发散，则有下列中何项结论（）？ A．<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17671850/2015102616224486454.jpg' />（a_n+b_n）发散 B．<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17671850/2015102616224486454.jpg' />_nb_n发散 C．<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17671850/2015102616224486454.jpg' />（a_n+b_n）收敛、发散不确定 D．<img src='https://img2.soutiyun.com/shangxueba/ask/17670001-17673000/17671850/2015102616224486454.jpg' />（a_n-b_n）收敛

<img src='https://img2.soutiyun.com/ask/2020-12-10/976481193047186.png' />

<img src='https://img2.soutiyun.com/ask/2020-12-07/976216098402209.png' />

考虑级数<img src='https://img2.soutiyun.com/ask/2020-11-13/974116144372841.png' />在指定区间-1≤x≤1上的敛散性.

考虑级数<img src='https://img2.soutiyun.com/ask/2021-01-14/979472776590669.jpg' />，由于1+1/n＞1，据p一级数的敛散性断言该级数收敛，是否正确？

<img src='https://img2.soutiyun.com/ask/2020-12-22/977477173109151.png' />