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判断题若函数在点的某邻域内有定义,则在点处极限存在的充要条件是左极限、右极限都存在且相等

A. 正确

B. 错误

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时间：2025-12-24 13:49:32

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数列极限的定义是什么

A. 数列的极限是当数列的项无限增大时,通项无限趋近于一个确定的常数B. 数列的极限是数列的首项C. 数列的极限是数列的末项D. 数列的极限是数列所有项的平均值

数列<img src="https://tihai-oss-cloud.itihey.com/img/04feb8ba0e79e751ca6d2cc1836d07a9.png">的极限是

A. <img src="https://tihai-oss-cloud.itihey.com/img/858bf5712ecb3a2b04754d396dab8e38.png">B. <img src="https://tihai-oss-cloud.itihey.com/img/a17c1a095279290f52ed9be79db64b1c.png">C. <img src="https://tihai-oss-cloud.itihey.com/img/beac287f9f5e1b181dc7e6cce0de32a5.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/2ed7dddab762a161db6e056b41b3ef9c.png">

数列<img src="https://tihai-oss-cloud.itihey.com/img/0c6796850e65564ccf8a598b4c837cb7.png">的敛散性是

A. 收敛B. 发散C. 既不收敛也不发散D. 不确定

若<img src="https://tihai-oss-cloud.itihey.com/img/b61d90054be079905a542695b378518e.png">,当<img src="https://tihai-oss-cloud.itihey.com/img/cf04d5ae811de190ce5318e20ff86b49.png">时,<img src="https://tihai-oss-cloud.itihey.com/img/a74f7d431f4cb52a605c4d21e629b5a8.png">是

A. 1B. 2C. 既是1,又是2D. 不存在

极限<img src="https://tihai-oss-cloud.itihey.com/img/a02517cd7815bbeb01691049257f62ae.png">

A. 0B. 1C. <img src="https://tihai-oss-cloud.itihey.com/img/6d56eb096e4e97859658571c8368688f.png">D. <img src="https://tihai-oss-cloud.itihey.com/img/8d27627e10a95a73a90a94466267e6a3.png">

极限<img src="https://tihai-oss-cloud.itihey.com/img/0fa7e759f04cd563859cf0a2d4119ead.png">

A. 0B. 1C. <img src="https://tihai-oss-cloud.itihey.com/img/2e9f51dccc324c08aaf57712c3091076.png">D. 不存在

设<img src="https://tihai-oss-cloud.itihey.com/img/653584085ce3623269bd672d98487f13.png">,极限<img src="https://tihai-oss-cloud.itihey.com/img/5fec4c805e34e562c62c4eb433d2f3b3.png"> ,<img src="https://tihai-oss-cloud.itihey.com/img/fc467ae80685be7ba66eb95df7059ba9.png"> ,<img src="https://tihai-oss-cloud.itihey.com/img/bb57bd4d8a1309bc61ed2f029f13648b.png">是

A. 0,1,不存在B. 1,1,存在C. 0,2,不存在D. 2,2,存在

极限<img src="https://tihai-oss-cloud.itihey.com/img/affdff1948547592494dae1cdbea709c.png">____

极限<img src="https://tihai-oss-cloud.itihey.com/img/1008c0c56ef62a5d2b1269913ae768a5.png">____(存在或不存在)

若函数<img src="https://tihai-oss-cloud.itihey.com/img/2c58abf2212cae5c619482b162589a07.png">在点<img src="https://tihai-oss-cloud.itihey.com/img/5c8f1d1d589f0b7a025fd79bd1910e39.png">的某邻域内有定义,则<img src="https://tihai-oss-cloud.itihey.com/img/2c58abf2212cae5c619482b162589a07.png">在点<img src="https://tihai-oss-cloud.itihey.com/img/5c8f1d1d589f0b7a025fd79bd1910e39.png">处极限存在的充要条件是左极限、右极限都存在且相等

A. 正确B. 错误

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