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判断题 判断正误:在一个收敛级数中,任意添加括号所得到的新级数仍收敛于原来的和
学科：高等数学B-II
时间：2025-06-07 16:33:54
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题目1判断题
判断正误:无穷级数<img src="https://tihai-oss-cloud.itihey.com/img/30f972dc5d5a721608892867abd3ac64.png">与其部分和数列<img src="https://tihai-oss-cloud.itihey.com/img/9077beb4786e7d39575413ab54788947.png">具有同样的敛散性,且级数收敛时,<img src="https://tihai-oss-cloud.itihey.com/img/30f972dc5d5a721608892867abd3ac64.png"><img src="https://tihai-oss-cloud.itihey.com/img/de7da271b8da32150f661c5add4af1e3.png">A. 正确B. 错误
题目2判断题
判断正误:在级数中改变、去掉或增加前面有限项,不会改变级数的收敛性A. 正确B. 错误
题目3判断题
判断正误:在一个收敛级数中,任意添加括号所得到的新级数仍收敛于原来的和A. 正确B. 错误
题目4判断题
判断正误:添加括号所得到的级数收敛,则原级数仍也收敛A. 正确B. 错误
题目5判断题
判断正误:若级数<img src="https://tihai-oss-cloud.itihey.com/img/fdf868976f04a30838f605f5603a5bff.png">收敛,则 <img src="https://tihai-oss-cloud.itihey.com/img/9e450dfbf3429e4f226118a58fbd76dc.png">A. 正确B. 错误
题目6单选题
若级数<img src="https://tihai-oss-cloud.itihey.com/img/dab90b05671493f4701499716941eb25.png">收敛,则<img src="https://tihai-oss-cloud.itihey.com/img/6addc58a1b54c9a5bba2c36265d5ddec.png">( )A. 1B. 2C. 0.5D. 0
题目7单选题
级数<img src="https://tihai-oss-cloud.itihey.com/img/7d551a58ec6bc1ec258bb9308117f6a2.png">的和是3,则级数<img src="https://tihai-oss-cloud.itihey.com/img/76c8ef638c22f0694d3d5463a930c60f.png">的和是( )A. 3B. 2C. <img src="https://tihai-oss-cloud.itihey.com/img/fc7dc72f5d587cf1284e2c85547e4d27.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/eca2cfd1036bb0fc593dc386722e2f47.png">
题目8单选题
当<img src="https://tihai-oss-cloud.itihey.com/img/f7225c5537c7b4a2f8c71d29e4ea03ae.png">时,级数<img src="https://tihai-oss-cloud.itihey.com/img/9e7654c6df816daf0eff3f3b1b6cbbe6.png">的和是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/606e3d220dff0da5301a5fc07b341ff3.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/a0f33e6180f43c029cb0540e28e9ac05.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/e82cf4325d3caa98cff4b88bb79ed1b8.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/f9ec5f1c080ff1abc877037b3dcad54e.png">
题目9单选题
级数<img src="https://tihai-oss-cloud.itihey.com/img/641019e497f1fa5fa3968e723e2c7f39.png">的和是( )A. 1B. 2C. 0.5D. 1.5
题目10单选题
级数<img src="https://tihai-oss-cloud.itihey.com/img/e44f72f04e5b173d253f52347ad4f8c8.png">的和是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/bc270d80a7fbcbdd5d83d7dbd2ddce12.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/e1097d0a87d154851fcc7985514df9db.png">C. 1D. 0
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