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Math Help - Does this series conv or div?? [tricky]

  1. #1
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    Does this series conv or div?? [tricky]

    Determine whether summation div or conv.

    Summation of [3^n * n!]/[1*4*(3n-2)]
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  2. #2
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    Quote Originally Posted by WartonMorton View Post
    Determine whether summation div or conv.

    Summation of [3^n * n!]/[1*4*(3n-2)]


    It's trivial to show that the general term sequence doesn't even converge to zero ...!

    Tonio
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    Quote Originally Posted by tonio View Post
    It's trivial to show that the general term sequence doesn't even converge to zero ...!

    Tonio
    not quite sure what you mean by this?
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    Quote Originally Posted by WartonMorton View Post
    not quite sure what you mean by this?

    It means that \lim_{n\to\infty}a_n\neq 0\Longrightarrow \sum^\infty_{n=1}a_n doesn't converge. This is ABC in infinite series.

    Tonio
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