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Math Help - Limit and Integral

  1. #1
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    Limit and Integral

    I'm stuck with the following question in my mathbook:

    "Compute the following limit"

    lim \int_a^2^a (1/x-1/x^2)\,dx
    a->infinity

    I would really appreciate if someone helped me out!
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  2. #2
    Super Member ILikeSerena's Avatar
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    Re: Limit and Integral

    Quote Originally Posted by Zhirkov View Post
    I'm stuck with the following question in my mathbook:

    "Compute the following limit"

    lim \int_a^2^a (1/x-1/x^2)\,dx
    a->infinity

    I would really appreciate if someone helped me out!
    Hi Zhirkov!

    Do you know how to calculate \int_a^2^a (1/x-1/x^2)\,dx?
    If so what do you get?
    And what if you take the limit to infinity then?
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