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单选题 设
,则当
时
A. 
是
的高阶无穷小
B. 
是
的低阶无穷小
C. 是的同阶无穷小
D. 是的等价无穷小
学科：高等数学2025
时间：2025-03-25 11:10:55
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题目1单选题
设<img src="https://tihai-oss-cloud.itihey.com/img/b96119ce414bf13f8bf135553e59c159.webp">,则当<img src="https://tihai-oss-cloud.itihey.com/img/ca4989826f8d15eafca542ac4b8287f3.webp">时A. <img src="https://tihai-oss-cloud.itihey.com/img/6bdbe82f006474fbe9cb5fbc5cb111f8.webp">是<img src="https://tihai-oss-cloud.itihey.com/img/e02c9b4c74d4d59191c0dd71f98299d8.webp">的高阶无穷小B. <img src="https://tihai-oss-cloud.itihey.com/img/fb5fd79524674baaf991e4a9de5cacaa.webp">是<img src="https://tihai-oss-cloud.itihey.com/img/2a1a7f2154285ef68353a99c5b463a1c.webp">的低阶无穷小C. <img src="https://tihai-oss-cloud.itihey.com/img/fb5fd79524674baaf991e4a9de5cacaa.webp">是<img src="https://tihai-oss-cloud.itihey.com/img/2a1a7f2154285ef68353a99c5b463a1c.webp">的同阶无穷小D. <img src="https://tihai-oss-cloud.itihey.com/img/fb5fd79524674baaf991e4a9de5cacaa.webp">是<img src="https://tihai-oss-cloud.itihey.com/img/2a1a7f2154285ef68353a99c5b463a1c.webp">的等价无穷小
题目2单选题
下列极限中,值为1的是A. <img src="https://tihai-oss-cloud.itihey.com/img/442cad133a7389f2e97142bd94dc9b2c.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/a52d1b15b495e3e27c3e4b05d162d52b.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/5e8901b66a640f4fac7c5356df0f167a.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/67e34168695a16dd6d1a90517381029c.webp">
题目3单选题
<img src="https://tihai-oss-cloud.itihey.com/img/b7a466ab1232efbf547534aab429f043.webp">时与无穷小<img src="https://tihai-oss-cloud.itihey.com/img/15a7332de10046ddf2af9521ff20a325.webp">等价的是A. <img src="https://tihai-oss-cloud.itihey.com/img/6b16188405181f0080db0f9527a3dafa.webp">B. <img src="https://tihai-oss-cloud.itihey.com/img/862ed2891d6537855734bb18ba739071.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/bd2c4aa962610c5828756a3f32008012.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/91dfd52f303864076afb7761f929b288.webp">
题目4单选题
极限<img src="https://tihai-oss-cloud.itihey.com/img/330d6978dfcb38da5f4a96315eb76e9f.webp">的值为A. 0B. <img src="https://tihai-oss-cloud.itihey.com/img/6cb6bc0f2bbe3d031232f184ebf34f2c.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/1985eaeb8087824b39eb9af95ceb88c1.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/bd1cf3c8112e85fd9814c042b796e39b.webp">
题目5单选题
极限<img src="https://tihai-oss-cloud.itihey.com/img/56d346aaa40eb2f78b1984c7cd17c40c.webp">的值为A. 0B. <img src="https://tihai-oss-cloud.itihey.com/img/09aabc42f6a3a7021d70254956a78be2.webp">C. <img src="https://tihai-oss-cloud.itihey.com/img/afb2a07d84c7eb78a93f64f519357a04.webp">D. <img src="https://tihai-oss-cloud.itihey.com/img/bade3633c45f3002401ce0a1a3e4e7b3.webp">
题目6判断题
两个等价无穷小趋于零的速度是相同的A. 正确B. 错误
题目7判断题
当<img src="https://tihai-oss-cloud.itihey.com/img/ca4989826f8d15eafca542ac4b8287f3.webp">时,<img src="https://tihai-oss-cloud.itihey.com/img/d2b000f235007838ae5191290ce8ec3d.webp">A. 正确B. 错误
题目8判断题
<img src="https://tihai-oss-cloud.itihey.com/img/8044eb3cffb0e5a82bc050eb2f91decc.webp">是同一极限过程中的无穷小,且<img src="https://tihai-oss-cloud.itihey.com/img/a3f33cbcd1450b7a83c5d402fd756d8f.webp">,则必有<img src="https://tihai-oss-cloud.itihey.com/img/160e30574143ffa254742cd5e0013bd4.webp">A. 正确B. 错误
题目9判断题
<img src="https://tihai-oss-cloud.itihey.com/img/65948cea061fcd7ed76e4b9fcd6b95d2.webp">A. 正确B. 错误
题目10判断题
两个无穷小商的极限仍是无穷小A. 正确B. 错误
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