• 2022-06-08
    写出函数 [tex=4.571x1.357]yvmXCnXX0hs7XtW2ywrNqw==[/tex] 在点[tex=3.0x1.357]k1fyl87ihgHd1j9V9uPr9A==[/tex] 的邻域内的展开式,到二次项为止.
  •  解[tex=40.5x8.929]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[/tex]于是,按泰勒公式在点[tex=2.286x1.357]IznYKk7kywvI5iLU+xoABA==[/tex]附近展开到二次项,得[tex=28.571x1.357]I4nuxSpvpr8UEAsPx4xdrAqDQjceJAThgLEuze+A2MhPkDrALvAu8mYxC7Z8baJ6lge7pmZ89YHpzyM/+59bn4+DeTaKPspOP/+auot3HVIzTeN9xRqmDB/sw0FbwJ9e[/tex]其中余项[tex=32.286x10.071]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[/tex][br][/br][tex=8.786x1.214]LOaCk2ACkKLdcmdxuWwYF+PgL05uLWyluoyDGpCckc0=[/tex]

    举一反三

    内容

    • 0

      9判别下列函数是否是周期函数,若是周期函数,求其周期 :(1) [tex=8.357x1.357]jijpvC8Aw74QOOOJh5Va05j3PtA64Pms1Q5qDGlqeN4=[/tex](2) [tex=5.643x1.357]TG5DUF3HrCbhIJWDEcp5Pj9u3e2PUgpbN4NJQ6DZXLw=[/tex](3) [tex=5.714x1.357]SBxtvKszj8+jJcycMEKn5vqfhi5GLWqH4Gac9QRbIHc=[/tex](4) [tex=6.929x1.357]NZ5EVFRfE4pFsgkbEOhFkNg5/qZx8geAT5eL+yzbq1Q=[/tex]

    • 1

      求函数[tex=9.286x1.357]JcyhJz6RnuA5zWjoQFaVkaAFVAVK7phwmCXmxj7Bxos=[/tex]在[tex=2.286x1.357]sVCzP1QNUT517zJi7AAZqw==[/tex]点的 Taylor 展开式(展开到三阶导数为止 )。

    • 2

      求下列函数的导函数:(1) [tex=5.0x2.357]X/CieCDGJ7iPQ3YFWuscHxHrcIE/dPFa9tFyiJXze8A=[/tex](2)[tex=6.643x1.714]Oj74y/L+OxY81QME5JWMcl+7PZ2FGQswwvjgVhjq1Dmb6dBU0oAjZBW7eFBVjqo6[/tex]

    • 3

      求函数[tex=5.214x1.429]Oa+RohFW79sBZqhiesSQ3zSte7K95HjDvqdwlRynx4E=[/tex]在[tex=2.286x1.357]sVCzP1QNUT517zJi7AAZqw==[/tex]点的n阶 Taylor 展开式,并写出余项。

    • 4

      如果X满足[tex=1.0x1.214]uDLq1pltx8bidzPpXavtVw==[/tex]公理和[tex=1.0x1.214]HSZQQmMoQLPTE8orMMvtgA==[/tex]公理,则也满足[tex=1.0x1.214]9/dZqDJTFQ9zWNw2dnPh4g==[/tex]公理。