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Thread: series + integral

  1. August 16th 2008, 09:09 AM #1
    asi123
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    series + integral

    Hello.

    I need to to investigate (I hope I said that right ) the converge of this function, any idea guys?
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  2. August 16th 2008, 10:09 AM #2
    CaptainBlack
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    Quote Originally Posted by asi123 View Post
    Hello.

    I need to to investigate (I hope I said that right ) the converge of this function, any idea guys?
    <br /> 0 < \int_0^{1/n} {\frac{{\sqrt[4]{x}}}{{1 + x^2 }}} \,dx < \int_0^{1/n} {\sqrt[4]{x}} \,dx = \frac{1}{{1.25}}n^{ - 5/4} <br />

    from which you should be able to show your series converges.

    RonL
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