Recent content by garryh22

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    Sequence {(1/2)ln(1/n)} converge?

    Homework Statement Does the sequence {(1/2)ln(1/n)} converge or diverge? Homework Equations Working it out analytically, I think it diverges. I would like to know the appropriate test to show this The Attempt at a Solution
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    Describing Set of Absolute Maxima for a Concave Function

    Homework Statement Let f(x) be concave, how do you describe its set of absolute maxima Homework Equations The Attempt at a Solution
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    Infinite Series Convergence Test: ln((n!e^n)/n^(n+1/2)) [SOLVED]

    Thanks a great deal. I never heard of the Striling formula till now. I just looked it up, applied it and the expression reduced to ln(1/n)^(1/2) which diverges with p-series. Further insight would be greatly appreciated
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    Infinite Series Convergence Test: ln((n!e^n)/n^(n+1/2)) [SOLVED]

    [SOLVED] Infinite Series Homework Statement ln((n!e^n)/n^(n+1/2)) Homework Equations Does the series above converge or diverge. The Attempt at a Solution I can see that it diverges but I'm looking for the appropriate test to show this