lim(1/1 ×2+1/2 × 3+…+1/n(n+1))co gia tri bang moi nguoi giup minh giai cau nay vs

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lim(1/1 ×2+1/2 × 3+…+1/n(n+1))co gia tri bang
moi nguoi giup minh giai cau nay vs

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Audrey 4 tuần 2021-07-10T12:33:36+00:00 2 Answers 0 views 0

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    0
    2021-07-10T12:34:46+00:00

    Giải thích các bước giải:

     $\lim \dfrac{1}{1.2}+\dfrac{1}{2.3}+..+\dfrac{1}{n(n+1)}$

    $=\lim \dfrac{2-1}{1.2}+\dfrac{3-2}{2.3}+..+\dfrac{n+1-n}{n(n+1)}$

    $=\lim\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+..+\dfrac{1}{n}-\dfrac{1}{n+1}$

    $=\lim 1-\dfrac{1}{n+1}$

    $=1$

    0
    2021-07-10T12:35:34+00:00

    Đáp án:

     ự túc

    Giải thích các bước giải:

     

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