设当[tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex]时，[tex=8.786x1.286]bjHISL461ZOQOnaRC2xoVoTWaPrrm/i5mhaR6sLCyoU=[/tex]是比[tex=3.143x1.286]39aqLuzQDVnMdD+FyO1ACg==[/tex]高阶的无穷小，而[tex=3.143x1.286]39aqLuzQDVnMdD+FyO1ACg==[/tex]是比[tex=3.857x1.357]F2tEmfskngs7dXkLALPKlr6EaTMJ6EnErTB5uy77/bM=[/tex]高阶的无穷小，则正整数[tex=1.643x1.286]tN2Wc8KYTGnuCfMEsxezlQ==[/tex]
A: 1
B: 2
C: 3
D: 4
A: 1
B: 2
C: 3
D: 4
举一反三
- 设当 [tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex] 时, [tex=9.071x1.286]zs+p6494jqK7p2jW1Pd58qG4wvmJbRN23Bn1l6cbfeI4pepMYNFecyGolvcxkVO7[/tex] 是比 [tex=3.143x1.286]tR/e03xCZnrlGmDTIA0YAHtdSyjqGOjyrWujk8Zapdo=[/tex] 高阶的无穷小, 而 [tex=3.143x1.286]tR/e03xCZnrlGmDTIA0YAHtdSyjqGOjyrWujk8Zapdo=[/tex] 是比 [tex=4.071x1.786]1B/+apu8DEAJAK+YyNWSDcKFDI0sqZaUIVHujodrLz4=[/tex] 高阶的无穷小, 则正整数 [tex=0.643x1.286]ZsZs11iKEvfmzDIurZth8g==[/tex] 等于 A: 1 B: 2 C: 3 D: 4
- 设 [tex=4.357x1.286]SSNFRGnoX7zsz3xh++Or+6bGEzg4WVTjxvrT9l8ci28=[/tex], 求证当 [tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex] 时，(1) [tex=9.929x1.286]KTKjDLnNKTyVwhLDKQFcZITMBx36hwY25HEMB9j4K8oW+Df8//LkR5xZtFFj85DZaKB7MVK3F887cED4kbDDttwRHau9Myxvd7voCmT4Ydw=[/tex], [tex=6.071x1.286]GLquATPBBnQk5XqmjpA48x3nMmZffjUtlp4bUKZtXR4=[/tex].(2) [tex=10.929x1.286]KTKjDLnNKTyVwhLDKQFcZH1K1zf3/A1ue2qiDwdL51Ha0tuVvRI2n8OX8UWK+FBATNXqueay6STtmurclki37vs5SZEKZK5wfzyX7nQdjew=[/tex].(3) 若 [tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex] 是 [tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex] 时的无穷小 , 则 [tex=5.786x1.286]9LmX2pUZThFDV1gq8YR4fYxveQhPWxMWfkXCPgNubd5zbXAVQGotGbcJLD1P/4Zz[/tex].(4) [tex=6.714x1.286]Z6J3tnj49hqi3vj69h66sruAiTwW3O3jA1Wa0/1xk6FXkAdv7s1uBp+PE0aN/J7Z[/tex] [tex=3.071x1.286]NqTlYScn/3fYcSllto8JFw==[/tex].
- 7. 设当 [tex=2.071x1.0]fFygQtL2niAHHkIQ5qPQvmk2fvF745jrXzXvE+qpilE=[/tex]时 [tex=9.286x1.571]lcSd5G/dGqLg2O9E1AtHs5n8dHoMXkpG/3BpKun7LQmH5kCqeK2AcNz/+pOIiZz7[/tex]是比[tex=3.214x1.0]EdIYn0XIaXZLE05uVO9TQXNJvVll6paY4KFmX9l5hxw=[/tex]高阶的无穷小,而[tex=3.214x1.0]EdIYn0XIaXZLE05uVO9TQXNJvVll6paY4KFmX9l5hxw=[/tex]是比[tex=2.5x1.429]JM+vlxXXc0Xs0mLIpNftLL8UoSqU+NR7f8eEv5PaI9c=[/tex] 高阶的无穷小,则正整数[tex=0.643x0.786]ZExgmnAXI1EfYmedi0VzHw==[/tex]等于( ). 未知类型：{'options': ['0', '1', '2', '3'], 'type': 102}
- 当[tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex]时，下列四个无穷小中，哪一个是比其他三个更高阶的无穷小？[input=type:blank,size:6][/input] 未知类型：{'options': ['[tex=1.0x1.286]t0VPtxOeKW4wvIBgVm0Tng==[/tex]', '[tex=3.714x1.286]PH6cXmXKkbAQXb50DRXb4A==[/tex]', '[tex=5.286x1.357]qV6ORp7UcbE4sGNEuOvpNq0jpHKDd0oO6wiYHQT0NSU=[/tex]', '[tex=3.857x1.286]x0y9FliJJwV/zMxPiuSxcg==[/tex]'], 'type': 102}
- 当x→0时，[tex=2.857x1.357]P+rB9N1hnHYgKiRVAfwjNw==[/tex]与[tex=2.714x1.357]QsZioew6o+q9nmM1dnwchw==[/tex]相比，哪一个是高阶无穷小？