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Math Help - Diverge/Converge

  1. #1
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    Diverge/Converge

    Back again, was going through some exams and wanted to make sure I was doing this right.. last day to study, final tomorrow at 10 PM PST

    Determine whether the series converges or diverges. Justify your work by citing the appropriate test.

    Summation from k=1 to infinite of (arctan k)/k^2

    Can't I just use the p-series and p>2 and it converges?

    Or do I have to use a comparison, arctan is (-pi/2,pi/2) correct?
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  2. #2
    MHF Contributor

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    Just note that \frac{{\arctan (k)}}<br />
{{k^2 }} < \frac{{\pi /2}}<br />
{{k^2 }}.
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  3. #3
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    awesome thanks
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