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Math Help - Convergence, Absolute Convergenge and Divergence

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    Convergence, Absolute Convergenge and Divergence

    Determine whether each of the following absolutely converges, converges but not absolutely, or diverges:
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    Last edited by mr fantastic; March 29th 2009 at 01:35 AM. Reason: Fixed the typo the OP pointed out in a re-post
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    Quote Originally Posted by My Little Pony View Post
    Determine whether each of the following absolutely converges, converges but not absolutely, or diverges:
    Do you have any thoughts on any of these?
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    I think I got number 1.

    From the limit test, we end up getting:

    (-7)^n as n approaches infinity. Since this does not approach a number, it is divergent?
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    Also number 4 fails the test for divergence, because as n approaches infinity, the limit is 0. Therefore, it is convergent?
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