利用洛必达法则求下列极限:[tex=3.071x1.786]Wh0BbcsxbdPTUak0FdVk/avBOPtsBLXUGkOo/e4LxVSNfHffYfVZLRZrteytfcTA[/tex];
解 因为[tex=6.571x1.214]wg1ceKc1RUTE9lSOeLk4SM5qZ1QlaNsNAaY+sTihv0Ip6q+gk0mLztO46DQAIOkw[/tex],故[tex=3.071x1.786]Wh0BbcsxbdPTUak0FdVk/avBOPtsBLXUGkOo/e4LxVSNfHffYfVZLRZrteytfcTA[/tex]=[tex=4.357x4.5]Wh0BbcsxbdPTUak0FdVk/WMt19Oom0j2BFIpoqrDUf4UszRH3SFt7KIVMVhpcEF+k3AobEmTpFk2swhCfiBng3rIjbWEo4D0noE3fbWTOgC6x2hXYlBpn5whQVoi2Dgv[/tex]又因为[tex=3.857x3.643]Wh0BbcsxbdPTUak0FdVk/QAP0BSx3wS4Dn01V49EGz88ky66QmLexeQZETSyte+8M0mYzVMXWFoyk9mdxLpnvJxTFWVR/4Hf028sTR7i5Ok=[/tex][tex=5.071x4.143]Wh0BbcsxbdPTUak0FdVk/QAP0BSx3wS4Dn01V49EGz8KpOy/DGNHKoC9WpqdPH7FXwbtaf+ld+tvwacnbT3cRNVDfw91CA9CM71c6qhVDYg6xT4ycAoo5vKWan2ws54CSDbpgAL6uFongrngPSURWw==[/tex]所以[tex=6.0x2.0]Wh0BbcsxbdPTUak0FdVk/avBOPtsBLXUGkOo/e4LxVQtwKNS/Ufoy4TW34tNtrpb[/tex].
举一反三
- 利用洛必达法则求下列极限:[tex=4.643x1.786]Wh0BbcsxbdPTUak0FdVk/avBOPtsBLXUGkOo/e4LxVQfk3FLl+azNfOknguU1O+4[/tex]
- 利用洛必达法则求下列极限:[tex=6.571x2.0]Wh0BbcsxbdPTUak0FdVk/avBOPtsBLXUGkOo/e4LxVSQ/48RJ2ksrBl1B39oxyJZ[/tex];
- 利用洛必达法则求下列极限:[tex=3.357x2.143]Wh0BbcsxbdPTUak0FdVk/ZQuyy7Fb48esTSmX0ITOc3HXeChcqk3ZJ4mZoRj3trR[/tex]
- 求极限[tex=5.714x2.429]Wh0BbcsxbdPTUak0FdVk/UF2rKTSeqk6MCwdvBGZxhPnApCD2PMfhUNY8w9B7vsRZiLrBMXmEkRQOFWIe7couw==[/tex],下列解法()正确. 未知类型:{'options': ['用洛必达法则,原式[tex=14.214x2.429]Wh0BbcsxbdPTUak0FdVk/UF2rKTSeqk6MCwdvBGZxhOvWGP43c+fXU8zbdrU4bLTStbjTIo+v5ZWxkOky7xCeV1UNJBkh/2FXrEe51AfAWTwFSi0GWnQv5maOv91z/v14DlBQUtTx/Qi9NEes99YOLFiRPSDA2YtSEI2mYspqag=[/tex]', '不用洛必达法则,极限不存在[tex=11.214x4.643]LJoZ6w1fh/2otaE2gK07/JaV8WvgiI/WyLeTeb4m6eZAcWIiZogzJjpMex7lW3BVmAX+FGDYcNGZFAo46zlGs69j1UF6uHAVsGXhXimLD/oaFE695g/5vlRqjsa1Xxk5r5Jo56M0Gw3AlehYSTX9DEaHc7HDJH23/jd/2FaX5ys=[/tex]', '不用洛必达法则,原式', '不用洛必达法则,原式=[tex=10.286x4.643]Wh0BbcsxbdPTUak0FdVk/UF2rKTSeqk6MCwdvBGZxhNiI49lr3h2iGXcMD+OiAFBnny8233+tuvV9oI2EOUVvtK1Xiox7NfIpoTSmA2bNQOXaTUsSZ8zS32tygb9vHqzGxVsyUneGbXAyT3si4kJhXNi3KhsrZYK6PU0yMs+Qd8=[/tex]'], 'type': 102}
- 利用洛必达法则求极限:[tex=3.643x2.0]MhC0sa4kP8ihnFHLNuEHSy8dTKi6ves4OqsRQbRKX004s5igHAPtu2LAtwebTCl8[/tex]
内容
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利用洛必达法则求极限:[tex=4.929x1.786]MhC0sa4kP8ihnFHLNuEHS+vrwio+K9FLrXqYqfa8I9crwGtrlJWEdZuILVF0iyvI[/tex]
- 1
利用洛必达法则求极限[tex=6.714x2.429]ENxIatiC2yqgaopSQCG83tXQk5xuU/AX5+Ac5mQsVp/0btTbHq5IhFNvBMambUoTKmuNkFAva4lwNAeXexoT+w==[/tex].
- 2
利用洛必达法则求极限:[tex=4.571x2.0]ENxIatiC2yqgaopSQCG83hcpU77eGXLTmd3S29CIk5T0kH/m2Ks4Wa1/MlbAFWXn[/tex]
- 3
利用洛必达法则求极限:[tex=3.357x2.143]MhC0sa4kP8ihnFHLNuEHS/MH3J3+ZOM/LvfHOBDDjCASGUcXjBzIhT6Wh0j3314O[/tex]
- 4
用洛必达法则求极限[tex=6.929x2.0]MqOfsQLAB/zeVSdv1WggGOAup7WjYT1m4AlF8+8NFGS+C8TqflviYKiKWbWi0KwGyQF2KPcW2xm6tc+n0ci4lw==[/tex]。