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Math Help - Convergence

  1. #1
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    Convergence


    ∑ (27+∏)/(n^.5)
    n=1
    Determine whether the series is convergent or divergent and explain why. Please help me with this!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by cottoncandy View Post

    ∑ (27+∏)/(n^.5)
    n=1
    Determine whether the series is convergent or divergent and explain why. Please help me with this!
    \sum_{n = 1}^{\infty} \frac {(27 + \pi)}{n^{0.5}} = (27 + \pi) \sum_{n = 1}^{\infty} \frac 1{n^{0.5}}

    use the p-series test
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  3. #3
    GAMMA Mathematics
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    P-series tests show the sum is convergent if the exponent is greater than one.
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  4. #4
    MHF Contributor kalagota's Avatar
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    thus, the series is divergent..
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  5. #5
    GAMMA Mathematics
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    Quote Originally Posted by kalagota View Post
    thus, the series is divergent..
    Our help to the OP was a piecewise cumulative distribution function split in three different intervals!
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by colby2152 View Post
    Our help to the OP was a piecewise cumulative distribution function split in three different intervals!
    haha, you're such a nerd, Colby!

    anyway, thanks guys for just giving away the answer after i worked so hard to make sure the poster did something him/herself
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  7. #7
    GAMMA Mathematics
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    Quote Originally Posted by Jhevon View Post
    haha, you're such a nerd, Colby!

    anyway, thanks guys for just giving away the answer after i worked so hard to make sure the poster did something him/herself
    I'm more of a "dork" than anything. My bad, I just try to chime in and help whenever possible!
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