• 2022-06-16
    考察下列数列[tex=2.0x1.357]CjCvAldACdhCbOUJYZLY+0nRBLhCQFA+2tCS8je5CxI=[/tex]的变化趋势,判断是否有极限?若有极限,写出其极限值.[tex=3.786x2.357]t8GF+4USXCrxjqHcu/Ag/lULO2VV2Yp4hyc59sVrcPo=[/tex].
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    内容

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      数列[tex=2.0x1.357]CjCvAldACdhCbOUJYZLY+0nRBLhCQFA+2tCS8je5CxI=[/tex], 收敛还是发散,对于收敛数列,通过观察得出数列的极限:[tex=3.786x2.357]d41juFVubqzWiOnVE3d/5mPFfH0Rp9bDXxZ6YQ8ioZ8=[/tex]

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      判断数列是收敛,还是发散?对于收敛数列,通过观察数列[tex=2.0x1.357]h3eICLkAlY54v5UBwjQ4sBI1zHM9ZDqJprUj0GNfH3U=[/tex]的变化趋势,写出它们的极限[tex=4.5x2.357]5MNKrJqYtBUUtsfmEo9Q4qMgAj5xdmkOpQbdfoy3d7o=[/tex]

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      设数列 [tex=2.0x1.357]CjCvAldACdhCbOUJYZLY+0nRBLhCQFA+2tCS8je5CxI=[/tex] 为 [tex=23.214x3.429]a1YRyGaFgFaGLcsbr8maqGm8cLhDPF3o3MWtj74uBuSJi2ZWUMslO09FxtgkgkutXSueCpqx17H/p9Vkd7+TTcviTp0nKDbwgiunyFTo7trs1HHLHgMEIUuA1gjz3OHuH8Ghx65QNeTpRvgF7P1vjQ==[/tex]试证 [tex=2.0x1.357]CjCvAldACdhCbOUJYZLY+0nRBLhCQFA+2tCS8je5CxI=[/tex] 收敛,并求它的极限。

    • 3

      用极限性质判别下列结论是否正确,为什么?有界数列[tex=2.0x1.357]CjCvAldACdhCbOUJYZLY+0nRBLhCQFA+2tCS8je5CxI=[/tex]必收敛.

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      判断数列是收敛,还是发散?对于收敛数列,通过观察数列[tex=2.0x1.357]h3eICLkAlY54v5UBwjQ4sBI1zHM9ZDqJprUj0GNfH3U=[/tex]的变化趋势,写出它们的极限[tex=4.071x2.429]mBCZQMW/5LjRNwAQZYRVR5iAKFzpZ1HscYN6r8dR5rE=[/tex]