若 成立，则级数发散.c8d2b5afa3aaedf76684c255e6cf966a.png

A .https://assets.asklib.com/psource/2015102616283362534.jpg B .https://assets.asklib.com/psource/2015102616283832927.jpg C .https://assets.asklib.com/psource/2015102616283955626.jpg [1／n-1／（n+1）］D .https://assets.asklib.com/psource/2015102616283955626.jpg sin（nπ／3）

A . t≥0 B . t≥1 C . t>1 D . t>0

A . 一定发散 B . 可能收敛，也可能发散 C . a>0时收敛，a<0时发散 D . |a|<1时收敛，|a|>1时发散

A .https://assets.asklib.com/psource/2015103008482332269.jpg B .https://assets.asklib.com/psource/2015103008483914892.jpg C .https://assets.asklib.com/psource/2015103008485398851.jpg D .https://assets.asklib.com/psource/2015103008490597600.jpg

A . 必在|x|>3时发散 B . 必在|x|<3时发敛 C . 在x=-3处的敛散性不定 D . 其收敛半径为3

A .https://assets.asklib.com/psource/2015103008470426697.jpg B .https://assets.asklib.com/psource/201510300847227368.jpg C .https://assets.asklib.com/psource/2015103008473644669.jpg D .https://assets.asklib.com/psource/2015103008475312901.jpg

A .https://assets.asklib.com/psource/2015102616224486454.jpg （an+bn）发散B .https://assets.asklib.com/psource/2015102616224486454.jpg nbn发散C .https://assets.asklib.com/psource/2015102616224486454.jpg （an+bn）收敛、发散不确定D .https://assets.asklib.com/psource/2015102616224486454.jpg （an-bn）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）

利用泰勒公式,证明级数<img src='https://img2.soutiyun.com/ask/2020-12-14/97678863136719.png' />收敛,而级数<img src='https://img2.soutiyun.com/ask/2020-12-14/976788643090861.png' />发散.

若级数<img src='https://img2.soutiyun.com/ask/2019-12-28/946403212628433.png' />收敛于S，则级数<img src='https://img2.soutiyun.com/ask/2019-12-28/946403223216556.png' />收敛于______

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' />

若下列反应 2A + 2B = C 的速度方程式是v = k [A][B]2，此反应的反应级数是()。 A.一级 B.二级 C.三级 D.四级

A．部分和数列有界 B．部分和数列极限为零 C D．都收敛

若级数习<img src='https://img2.soutiyun.com/ask/2020-11-26/975244241398906.png' />绝对收敛,则级数习<img src='https://img2.soutiyun.com/ask/2020-11-26/975244252374534.png' />必定();若级数习<img src='https://img2.soutiyun.com/ask/2020-11-26/97524427328373.png' />条件收敛,则级数<img src='https://img2.soutiyun.com/ask/2020-11-26/97524428376933.png' />必定().

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

若<img src='https://img2.soutiyun.com/ask/2020-08-10/965908063220218.png' />,则幂级数<img src='https://img2.soutiyun.com/ask/2020-08-10/965908072452746.png' />的收敛半径是()。

设级数<img src='https://img2.soutiyun.com/ask/2021-01-14/979473223462229.jpg' />的绝对值级数<img src='https://img2.soutiyun.com/ask/2021-01-14/979473238100066.jpg' />发散，且其发散的结论是由比式判别法或根式判别法得到的，即我们有<img src='https://img2.soutiyun.com/ask/2021-01-14/979473272654042.jpg' />证明级数<img src='https://img2.soutiyun.com/ask/2021-01-14/979473324430004.jpg' />一定发散。

设<img src='https://img2.soutiyun.com/ask/2020-12-22/977477196762504.png' />必发散。若这两个级数都发散，上述结论是否成立？

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

A．A.t≥0 B．B.t≥1 C．C.t＞1 D．D.t＞0

证明:若级数<img src='https://img2.soutiyun.com/ask/2020-11-13/974117042967238.jpg' />绝对收敛,则函数项级数 <img src='https://img2.soutiyun.com/ask/2020-11-13/974117058462124.png' /> 在R一致收敛.