用比较判别法或极限判别法判别级数[tex=4.5x2.714]ySadpvq7BrEZCGdcnD6+aU21IvkZUHF98pGqJHkDnmjy8qWAtcIJmSspayEG4N8U[/tex][tex=3.0x1.286]Nl/NBNyCFpk+ZEqEEQBIIA==[/tex]的收敛性。
解:[tex=0.714x1.286]wbdAxWgHFhoV9XdVGDcK2w==[/tex][tex=15.857x5.214]I5PocycXYSmqX9keDWPEO/bCuhi35JXJG2L/Znd9Y5WlG8IAdLDmqgg48QVkxL2nymV7jZMVT8r58oBj3qxDNBoGsJJBxZ/MztoYafcvtAlNb/+7AYn586v+eW90V6tYqJ+CoPNSQahun8MdC3ZFc9efGypGWCNXSCzyIDIvOrT220YPX6vIQfW80uGk1PT1qTQAyJSavq6Pgir2R4GvfRtP211frtuQlUV+dD3lS4E=[/tex][tex=0.714x1.286]Mjp1ERIg12NQkOrp1BseMg==[/tex]当[tex=2.286x1.286]GuDWz+QMIChGMp8d+GcvNQ==[/tex]时,[tex=4.5x2.714]ySadpvq7BrEZCGdcnD6+aU21IvkZUHF98pGqJHkDnmjy8qWAtcIJmSspayEG4N8U[/tex]发散。当[tex=2.286x1.286]6w9jxLKw1r66z1z8I++zfw==[/tex]时,[tex=2.5x2.0]bC99aNnSvbeKlonukPYop6VfoauZ337OUF8Y1Q+IcTw=[/tex],这时[tex=7.857x2.071]VlnHGjycE/8ZWlSEyGnct6MChCQT+nP8GNtcq/spyJY3kZPTHBVShPZrCyVfEMfQ[/tex]由几何级数[tex=2.857x2.714]ySadpvq7BrEZCGdcnD6+aSUk6l+O4rlYyRoGDtMyaW0/xLAHhfXJXPh5C9xYHntY[/tex][tex=5.571x2.357]UblYatRRlABilNAQh2mnTloZuHa9rBYKSjNyXSoFWzshKAwq1UClaMPFIxem7Rel[/tex]收敛,知[tex=4.5x2.714]ySadpvq7BrEZCGdcnD6+aU21IvkZUHF98pGqJHkDnmjy8qWAtcIJmSspayEG4N8U[/tex]收敛。
举一反三
- 用比较判别法或其极限判别形式判别下列级数的收敛性:(8)[tex=4.143x3.286]VCAPAvn3gOPyP36rvxBwz4WuX2vQ/klLate4NI6RTQ/BWgCJKBYefgkuV+alVo+r[/tex][tex=3.143x1.357]cRVgfIi1JsBkKO0T/5wGlg==[/tex]
- 用比较判别法或极限判别法判别级数[tex=5.429x2.714]ySadpvq7BrEZCGdcnD6+aR0oZNxRb6tpg4/yis+rxZ+ozhP1obCrM+PmYjDAuYdk[/tex]的收敛性。
- 用比较判别法或其极限判别形式判别下列级数的收敛性:(4)[tex=5.286x3.286]VCAPAvn3gOPyP36rvxBwz3Vw4Yf3hWXC7R6TVMFgZ2N0oi3ZXBSMDLiPL4dUUrjC[/tex]
- 用比较判别法或其极限判别形式判别下列级数的收敛性:(1)[tex=4.143x3.286]VCAPAvn3gOPyP36rvxBwz6xGt1hDLmod1ZpkHx8NT+hMqmAZGFqkEgDQd9tbCti2[/tex]
- 用比较判别法或其极限判别形式判别下列级数的收敛性:(2)[tex=4.143x3.286]VCAPAvn3gOPyP36rvxBwzw9JXdotaiVLHILGq1CkeKLZ2GS201oxmGiaXf+4hV7u[/tex]
内容
- 0
用比较判别法或其极限判别形式判别下列级数的收敛性:(3)[tex=7.214x3.286]VCAPAvn3gOPyP36rvxBwz5uP6f4g2v03NEgW0TAx4Zsy++0FWiF1k3pLuoESiSti[/tex]
- 1
运用达朗贝尔判别法、柯西判别法或比较判别法,研究下列级数的收敛性:[tex=1.5x2.714]NBfV/Li8q5a6XQLs5kew20LCKmrJ1oj1kR9Hi76GCuE=[/tex][tex=2.786x2.643]3rZgIs/X3ZqIsvKavSFYGNC4fYj+xCW8Pwt0VKSIlJI=[/tex]。
- 2
用比较审敛法或极限审敛法判别级数的收敛性:[tex=7.429x3.286]VCAPAvn3gOPyP36rvxBwz4WuX2vQ/klLate4NI6RTQ99mtY5xwmZmdqMc780Bb2k[/tex] .
- 3
用比较审敛法判别下列级数的收敛性:[tex=4.286x3.286]3PXegz5bAQsuTODB0U8KrAFr1WrMC4YLNoBHCEDcuY8yup8ND2B4vWh4N03ovc3u[/tex]
- 4
用比较审敛法判别下列级数的收敛性:[tex=5.143x3.286]3PXegz5bAQsuTODB0U8KrJoOQA8ZKw+wjkGgpFjRBa0ciHY+y1s91Tg7w3Hx0iua[/tex]