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单选题 下列命题不正确的是
A. 正项级数
的部分和数列
单调递增
B. 若级数的部分和数列有界,则级数一定收敛
C. 若级数收敛,则其部分和数列一定有界
D. 若正项级数的部分和数列有界,则级数一定收敛
学科：经济应用数学II＋B21091016
时间：2024-06-14 03:57:00
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题目1单选题
正项级数<img src="https://tihai-oss-cloud.itihey.com/img/38c1880051c48513106b49b402e12988.png">收敛的一个充分条件是A. <img src="https://tihai-oss-cloud.itihey.com/img/d33dc74b6440de38f652436ecc9524ad.png">收敛B. <img src="https://tihai-oss-cloud.itihey.com/img/86e79b23125ace8c506f61a1a5a17b02.png">收敛C. <img src="https://tihai-oss-cloud.itihey.com/img/efbb5b355f65c6559bffd2032ed0ce04.png">收敛D. <img src="https://tihai-oss-cloud.itihey.com/img/7f1e55bcffac97cf279816354dcc8dbf.png">收敛
题目2单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/5a2c4f6f58e604e424b2e3a80365259a.png">为正常数,则使级数<img src="https://tihai-oss-cloud.itihey.com/img/c3dcefd92279e4d6c70e97bb0e120995.png">收敛的<img src="https://tihai-oss-cloud.itihey.com/img/5a2c4f6f58e604e424b2e3a80365259a.png">的取值范围是A. <img src="https://tihai-oss-cloud.itihey.com/img/d90debefc41f478505f67a221acd54c0.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/f0638383e2a6e446dbaa28d26915f7a1.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/493e1c0672ec542aa044443385888e1c.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/9708a7afb6c1213b79f5a40de6a98580.png">
题目3单选题
下列命题不正确的是A. 正项级数<img src="https://tihai-oss-cloud.itihey.com/img/38c1880051c48513106b49b402e12988.png">的部分和数列<img src="https://tihai-oss-cloud.itihey.com/img/9fdce8b6390df743b05a61eaa38180df.png">单调递增B. 若级数<img src="https://tihai-oss-cloud.itihey.com/img/38c1880051c48513106b49b402e12988.png">的部分和数列<img src="https://tihai-oss-cloud.itihey.com/img/9fdce8b6390df743b05a61eaa38180df.png">有界,则级数一定收敛C. 若级数<img src="https://tihai-oss-cloud.itihey.com/img/38c1880051c48513106b49b402e12988.png">收敛,则其部分和数列<img src="https://tihai-oss-cloud.itihey.com/img/9fdce8b6390df743b05a61eaa38180df.png">一定有界D. 若正项级数<img src="https://tihai-oss-cloud.itihey.com/img/38c1880051c48513106b49b402e12988.png">的部分和数列<img src="https://tihai-oss-cloud.itihey.com/img/9fdce8b6390df743b05a61eaa38180df.png">有界,则级数一定收敛
题目4单选题
已知正项级数<img src="https://tihai-oss-cloud.itihey.com/img/38c1880051c48513106b49b402e12988.png">收敛,则下列级数中一定收敛的是A. <img src="https://tihai-oss-cloud.itihey.com/img/b11b6eb42d11fecb81a12418c953c613.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/86e79b23125ace8c506f61a1a5a17b02.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/0fcd04c832522db67a4bdcc1b834396d.png">
题目5单选题
下面级数收敛的是A. <img src="https://tihai-oss-cloud.itihey.com/img/48c6182eaa9510e6a6982337fe16ffd7.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/507e94a874730047723af2819bc163ac.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/d18ec35fa6fb02be31b74eb5601611d1.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/51fdc5ee8061a983273df01be19242c0.png">
题目6单选题
下列几何级数收敛于<img src="https://tihai-oss-cloud.itihey.com/img/ef75adf1fa8dad10baf3f61720860e80.png">的是A. <img src="https://tihai-oss-cloud.itihey.com/img/6c931770a0608383f764ffdc3f908a95.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/9b5b0d53b9eb2ee4d629122ce052a611.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/515b5a81171a8509cc0754afe5aa85b5.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/702753bf30bb9a4636febb8e869b1514.png">
题目7判断题
级数<img src="https://tihai-oss-cloud.itihey.com/img/9faafe06dbb03d4c213a9748724ebad1.png">是收敛的A. 正确B. 错误
题目8判断题
级数<img src="https://tihai-oss-cloud.itihey.com/img/f16e3acafa18c5d994bf06c3a2b683eb.png">是收敛的A. 正确B. 错误
题目9判断题
级数<img src="https://tihai-oss-cloud.itihey.com/img/6cee5596ce29e7a775deaf6dd980e219.png">是收敛的A. 正确B. 错误
题目10判断题
级数<img src="https://tihai-oss-cloud.itihey.com/img/7b16298e5d953b55919a6be36b40be6f.png">是收敛的A. 正确B. 错误
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