试确定常数[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]和[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]；使[tex=12.071x1.286]oT4zyO7VRDCuBWoN5WhPMvJmoGgzqk1iRyp0BEIprA0=[/tex]为当 [tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex]时关于 [tex=0.571x1.286]XubEW9+1+hkJqH7jXe5MrA==[/tex] 的5 阶无穷小。
举一反三
- 确定常数 [tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex] 和 [tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex], 使得当 [tex=2.571x1.286]w0efHmbYekU5UTAU4sl3h3lFPiE/AczgZbKj14embCE=[/tex] 时, [tex=4.5x1.286]z8Zl4a4rDlph2+mvCCKN5Q==[/tex][tex=7.143x1.286]9C+8fat9zBqlZoFWxHf+tKFM2A4d0Xw5WBRU/pURg4Q=[/tex] 是关于 [tex=0.571x1.286]XubEW9+1+hkJqH7jXe5MrA==[/tex] 的 5 阶无穷小.
- 随机变量[tex=0.5x1.286]cFLrzlMvECfU5CTqcvierw==[/tex]分别以概率0.4、[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]、[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]和[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]取值1、2、3、4，并且[tex=3.071x1.286]fknOBgzbjEu52cPH0WBW3g==[/tex]，[tex=3.071x1.286]UAJJxdfCoB8SKuppr0cT/w==[/tex].求[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]，[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]、[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]。
- 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].
- 设[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]，[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]，[tex=0.5x1.286]m/VGGUpsnKNFGYXigdTc/A==[/tex]是互不相等的实数，且[tex=4.857x1.286]pz6BXMfR3fEU2s6/vRGU1pqY7wYpIAckH9HPLUpg30M=[/tex]，[tex=4.857x1.286]vylqZ2Xr5MOP03GTmSmqHw==[/tex]，[tex=4.786x1.286]36SQMYBDapeOE18TO40HbPE/QWKcXFEKAmEUl1XkU+w=[/tex]，则[tex=0.571x1.286]XubEW9+1+hkJqH7jXe5MrA==[/tex]，[tex=0.571x1.286]Hz6y44ELFVLLNrLVhO3CQA==[/tex]，[tex=0.5x1.286]asctJDWpGaq/ETe64ANZ1Q==[/tex] A: 都大于0 B: 至少有一个大于0 C: 都不小于0 D: 至少有一个小于0 E: 都小于0
- 设[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]，[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]是有理数，满足[tex=9.214x2.929]wLLnuhaTkejykG34Lose4Gk3bDdglgIOUPyksgtxtXmt1sHAbktViJ8p1ePynplK3+wsNPKnCMhi2L94ONh39NTRjZdrdBEvRo1TQVd9L2o=[/tex]，求[tex=0.571x1.286]mRKL/orzOudCEARA8qn3Kw==[/tex]，[tex=0.5x1.286]PGyKeLDo0qv9T0n29ldi6w==[/tex]的值。