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单选题 级数
的敛散性是( )
学科：高等数学（二）
时间：2025-10-24 10:50:59
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题目1单选题
<img src="https://tihai-oss-cloud.itihey.com/img/fc0ac1a7324795ddc7e1388b88605576.png">A. (-1,1)B. [-1,1]C. (-1,1]D. [-1,1)
题目2单选题
幂级数<img src="https://tihai-oss-cloud.itihey.com/img/117018230babd35a135dea5a0c846d15.png">的收敛域是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/6bfbe71142da187220395648ab9dcab2.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/11d8d835478cbc2121f51c79bfcb0249.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/3467eeedffbae0d95fa053149543a5ab.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/36a01449600c99d9130f3b3b9bfd8e2e.png">
题目3单选题
幂级数<img src="https://tihai-oss-cloud.itihey.com/img/006dc6d6881b2d0793990d77659103ef.png">的和函数(不考虑收敛域)是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/a0dac6b34bc6df476b58326879ea91a2.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/0d70ef58e4288d6d20196bad54a8b556.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/3ec446f4317789d6e6c3dd53d1a62b0b.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/a2af04ac8a040b8f322f3018e0e4171f.png">
题目4单选题
幂级数<img src="https://tihai-oss-cloud.itihey.com/img/e18e987d094d0c5c0dd6d7b5bace1e64.png">的和函数(不考虑收敛域)是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/f9358e8c32d88e8a5dfbac3e6fefd099.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/1f7a9f6294b24ad7288f9b032a98bacc.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/9639b906cb987edb7d6a03c6b3f6f98f.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/bbf817e7e6dd39fae138d3350b87d1c9.png">
题目5单选题
将<img src="https://tihai-oss-cloud.itihey.com/img/3b07b56727cf1b2f4f8b3079d310abe1.png">展开成余弦级数是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/1d390a68b63dbe90756cc01a21909f93.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/0f24e173a3963d7c2689095bce563edd.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/9f6f36409eec312400924584c688bf76.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/41edad73fb033de879888ee32fb2c6bb.png">
题目6单选题
将函数<img src="https://tihai-oss-cloud.itihey.com/img/40059383072654637f23cdfd3ed4becc.png">展开成<img src="https://tihai-oss-cloud.itihey.com/img/436f44d5c32ac6d9c858d62214e2c23f.png">的幂级数是( )A. <img src="https://tihai-oss-cloud.itihey.com/img/ec546de50dc715531ca92ec28900b91f.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/d69b919b9b8f8ff25b122cc04172d27a.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/80fb7f0a653ab63f4626efde95e2f821.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/275d8e91d61617b293a3c0585ac765f5.png">
题目7单选题
级数<img src="https://tihai-oss-cloud.itihey.com/img/34bb4977577b76659fe52a67c40398eb.png">的敛散性是( )A. 条件收敛B. 发散C. 绝对收敛D. 无法确定
题目8单选题
级数<img src="https://tihai-oss-cloud.itihey.com/img/3961b9696ee99a41365d476f523632c2.png">的敛散性是( )A. 条件收敛B. 发散C. 绝对收敛D. 无法确定
题目9单选题
下列选项中正确的一项是( )A. 级数<img src="https://tihai-oss-cloud.itihey.com/img/71ac7609e17441a4100c40fdbe36db28.png">收敛、<img src="https://tihai-oss-cloud.itihey.com/img/d3b8bf833a42addbef9b77ff1fa770ad.png">发散B. 级数<img src="https://tihai-oss-cloud.itihey.com/img/71ac7609e17441a4100c40fdbe36db28.png">收敛、<img src="https://tihai-oss-cloud.itihey.com/img/d3b8bf833a42addbef9b77ff1fa770ad.png">也收敛C. 级数<img src="https://tihai-oss-cloud.itihey.com/img/71ac7609e17441a4100c40fdbe36db28.png">发散、<img src="https://tihai-oss-cloud.itihey.com/img/d3b8bf833a42addbef9b77ff1fa770ad.png">也发散D. 级数<img src="https://tihai-oss-cloud.itihey.com/img/71ac7609e17441a4100c40fdbe36db28.png">发散、<img src="https://tihai-oss-cloud.itihey.com/img/d3b8bf833a42addbef9b77ff1fa770ad.png">收敛
题目10单选题
下列选项中正确的一项是( )A. 级数<img src="https://tihai-oss-cloud.itihey.com/img/263b29c2ffff05dbea7720406466e182.png">收敛、<img src="https://tihai-oss-cloud.itihey.com/img/4dd2431f0f185701ff6f3429bbbd5ccf.png">发散B. 级数<img src="https://tihai-oss-cloud.itihey.com/img/263b29c2ffff05dbea7720406466e182.png">收敛、<img src="https://tihai-oss-cloud.itihey.com/img/4dd2431f0f185701ff6f3429bbbd5ccf.png">也收敛C. 级数<img src="https://tihai-oss-cloud.itihey.com/img/263b29c2ffff05dbea7720406466e182.png">发散、<img src="https://tihai-oss-cloud.itihey.com/img/4dd2431f0f185701ff6f3429bbbd5ccf.png">也发散D. 级数<img src="https://tihai-oss-cloud.itihey.com/img/263b29c2ffff05dbea7720406466e182.png">发散、<img src="https://tihai-oss-cloud.itihey.com/img/4dd2431f0f185701ff6f3429bbbd5ccf.png">收敛
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