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Math Help - infinite sequences

  1. #1
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    infinite sequences

    determine whether the sequence converges or diverges. If converges find limit

    An= n(n-1)

    i think the sequence diverges to infinite but dosnt L'Hospital's rule apply becuase the its "infinite - infinite"
    ... a little confused.
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  2. #2
    Member Mentia's Avatar
    Joined
    Dec 2008
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    Bellingham, WA
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    Instead of expanding it out to:

    n^{2}-n, leave it in the form n(n-1).

    If you evaluate the limit in this form you have:

     \lim_{n  \rightarrow  \infty  }   n(n-1) = ( \infty )( \infty ) =  \infty

    Thus divergent.
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