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Math Help - convergent series

  1. #1
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    convergent series

    I have a final coming up and this is one of the problems on our review sheet. Can someone help me with this?
    Find an absolutely convergent series sigma a_n such that
    lim sup [a_(n+1)/a_n] = infinity
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    Quote Originally Posted by matt90 View Post
    I have a final coming up and this is one of the problems on our review sheet. Can someone help me with this?
    Find an absolutely convergent series sigma a_n such that
    lim sup [a_(n+1)/a_n] = infinity
    One possibility would be to take a_n to be 1/n^2 if n is even and 1/n^3 if n is odd.
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