• 2022-07-01
    当[tex=2.643x1.0]Fi2OiSq+zhaJTNdXB7v8ZiiLNxDfOHdeaRgfouwng8U=[/tex] 时,将下列函数与[tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex]进行比较,哪些是高阶无穷小,哪些是低阶无穷小,哪些是 同阶无穷小,哪些是等价无穷小? [tex=4.857x1.571]itclCjCO62r/nuAesdkjcaYh1fD57h961c9W01tqTJw=[/tex][br][/br]
  • 解 [tex=4.571x1.571]itclCjCO62r/nuAesdkjcRlIURQGuWF1xEkKlrZdFDY=[/tex][tex=17.071x3.143]ENxIatiC2yqgaopSQCG83jJsbDtzkF283NRe39FRzvCzI0b8a8BMssonbrv96nE7i1lzO0OkuulAw3DNAZVjD/916e8+FWgUkk24hpLwGsSyL0OhKrV7ITLJTWunSZQXTdj9BYsUIeGV1RDJcaMRMGDLAdQ/WAhndF4Oung1j5M=[/tex]所以[tex=4.571x1.571]itclCjCO62r/nuAesdkjcRlIURQGuWF1xEkKlrZdFDY=[/tex]是[tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex]的高阶无穷小量.又因[tex=8.571x2.714]ENxIatiC2yqgaopSQCG83jJsbDtzkF283NRe39FRzvCzI0b8a8BMssonbrv96nE7so97Xfjob3iNgQfN4W53twpj/K5RuDdVxBFIALgzE+E=[/tex]所以[tex=4.571x1.571]itclCjCO62r/nuAesdkjcRlIURQGuWF1xEkKlrZdFDY=[/tex]是[tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex]的2阶无穷小量.

    内容

    • 0

      当 [tex=2.643x1.0]Fi2OiSq+zhaJTNdXB7v8ZiiLNxDfOHdeaRgfouwng8U=[/tex] 时, 将函数[tex=8.143x1.143]0fIWYUPkH/LaKdIWAdCkc59DT1lWMhRCYz83NKrIobk=[/tex]与 [tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex] 进行比较, 是高阶无穷小?低阶无穷小? 同阶无穷小?还是等价无穷小?

    • 1

      下列各题中的无穷小量是等价无穷小、同阶等穷小、还是高阶无穷小?[tex=2.571x2.429]1KzBl76Rbpt0ZDfjuyvEySBpLlH81yt/ocMQjopZp64=[/tex]与[tex=6.143x1.429]gZvTEiEYJ4a287n3LtrCUsupTRs98rw4+P+fuIS6bTg=[/tex]

    • 2

      【单选题】当 时,将下列函数: , , , , 皆与 进行比较,哪些是高价无穷小量、低价无穷小量、同阶无穷小量、等价无穷小量,下列答案正确的是 () (7.0分) A. 高阶无穷小,无法比较,等价无穷小,同阶无穷小, 无法比较 ; B. 无法比较,高阶无穷小,等价无穷小,同阶无穷小,高阶无穷小; C. 高阶无穷小,无法比较,等价无穷小,同阶无穷小,低阶无穷小; D. 高阶无穷小,无法比较,同阶无穷小,等价无穷小,低阶无穷小;

    • 3

      判断下列无穷小量是等价无穷小、同阶无穷小、还是高阶无穷小?[tex=4.071x1.357]Ytv1F3VCRp1CmV2Z7hoO3A==[/tex]与[tex=4.0x1.357]Ygec97y5ehoG5Y96pK9UkmTSQd/iqD68zW2rjwUf7DE=[/tex]

    • 4

      判断下列无穷小量是等价无穷小、同阶无穷小、还是高阶无穷小?[tex=8.286x1.571]sX8d+twXyglG56PaRqTA1ASTfldg5A/SHzGFsRtSdY4=[/tex] 与 [tex=5.286x2.357]LPNgIfSpSvzTpeCN4Iyxyii5O2irz5ET/ZX8j6h/wHimhHq1ZhuZTLQvuLWkisj2[/tex]